No Way Back: Maximizing Survival Time Below the Schwarzschild Event Horizon

Geraint F. Lewis; Juliana Kwan

doi:10.1071/AS07012

RESEARCH ARTICLE

Next Contents Vol 24(2)

No Way Back: Maximizing Survival Time Below the Schwarzschild Event Horizon

Geraint F. Lewis ^A ^B and Juliana Kwan ^A

+ Author Affiliations

- Author Affiliations

^A School of Physics, University of Sydney, Sydney NSW 2006, Australia

^B Corresponding author. Email: gfl@physics.usyd.edu.au

Publications of the Astronomical Society of Australia 24(2) 46-52 https://doi.org/10.1071/AS07012
Submitted: 31 March 2007 Accepted: 8 May 2007 Published: 12 June 2007

Abstract

It has long been known that once you cross the event horizon of a black hole, your destiny lies at the central singularity, irrespective of what you do. Furthermore, your demise will occur in a finite amount of proper time. In this paper, the use of rockets in extending the amount of time before the collision with the central singularity is examined. In general, the use of such rockets can increase your remaining time, but only up to a maximum value; this is at odds with the ‘more you struggle, the less time you have’ statement that is sometimes discussed in relation to black holes. The derived equations are simple to solve numerically and the framework can be employed as a teaching tool for general relativity.

Keywords: black hole physics — relativity — methods: numerical — methods: analytical

Acknowledgments

James Hartle is thanked for his interesting discussions on the nature of black holes, and Eric Linder for useful comments. G.F.L. thanks Matthew Francis and Richard Lane for putting up with his bursting into their office and lecturing them on his eureka moments. The authors would appreciate notification of the use of any material in this article for teaching purposes.

References

Eddington, A. S. 1924, Natur, 113, 192

An error has occurred in (ref id="R1"). Variable LPAGE is undefined. [empty string]

array

1

struct
COLUMN	0
ID	??
LINE	243
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor10(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:243)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

2

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	180
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor12(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:180)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

3

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	177
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor13(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:177)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

4

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	176
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor14(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:176)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

5

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	170
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor40(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:170)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

6

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	15
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor41(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:15)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

7

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	12
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor42(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:12)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

8

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	11
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor43(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:11)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

9

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	1
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986.runPage(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

10

struct
COLUMN	0
ID	CFINCLUDE
LINE	3230
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor150(G:\www\publishha\app\modules\journal\Article.cfc:3230)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

11

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3217
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor151(G:\www\publishha\app\modules\journal\Article.cfc:3217)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

12

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3216
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:3216)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

13

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	2978
RAW_TRACE	at cfArticle2ecfc1291681887$funcBACKSECTIONSFORABSTRACTONLYDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:2978)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

14

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	118
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor2(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:118)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

15

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	99
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor4(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:99)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

16

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor6(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

17

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447.runPage(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

18

struct
COLUMN	0
ID	CFINCLUDE
LINE	10
RAW_TRACE	at cfStaticPageLayout2ecfm1426351739.runPage(G:\www\publishha\app\views\layout\StaticPageLayout.cfm:10)
TEMPLATE	G:\www\publishha\app\views\layout\StaticPageLayout.cfm
TYPE	CFML

19

struct
COLUMN	0
ID	CFINCLUDE
LINE	30
RAW_TRACE	at cfCacheController2ecfc639388092$funcRENDERLAYOUT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:30)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

20

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	241
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLECONTENT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:241)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

21

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	327
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:327)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

22

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	39
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENCACHE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:39)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

23

struct
COLUMN	0
ID	CF_CFPAGE
LINE	634
RAW_TRACE	at cfPublishingApp2ecfc536529069$funcPROCESSREQUEST.runFunction(G:\www\publishha\app\PublishingApp.cfc:634)
TEMPLATE	G:\www\publishha\app\PublishingApp.cfc
TYPE	CFML

24

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	16
RAW_TRACE	at cfBootstrap2ecfc660975501$funcHANDLEREQUEST.runFunction(G:\www\publishha\app\Bootstrap.cfc:16)
TEMPLATE	G:\www\publishha\app\Bootstrap.cfc
TYPE	CFML

25

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	18
RAW_TRACE	at cfApplication2ecfc757760907$funcONREQUESTSTART.runFunction(G:\www\publishha\webroot\Application.cfc:18)
TEMPLATE	G:\www\publishha\webroot\Application.cfc
TYPE	CFML

Einstein, A. 1939, AnMat, 40, 922

An error has occurred in (ref id="R2"). Variable LPAGE is undefined. [empty string]

array

1

struct
COLUMN	0
ID	??
LINE	243
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor10(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:243)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

2

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	180
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor12(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:180)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

3

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	177
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor13(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:177)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

4

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	176
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor14(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:176)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

5

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	170
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor40(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:170)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

6

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	15
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor41(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:15)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

7

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	12
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor42(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:12)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

8

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	11
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor43(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:11)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

9

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	1
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986.runPage(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

10

struct
COLUMN	0
ID	CFINCLUDE
LINE	3230
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor150(G:\www\publishha\app\modules\journal\Article.cfc:3230)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

11

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3217
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor151(G:\www\publishha\app\modules\journal\Article.cfc:3217)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

12

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3216
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:3216)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

13

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	2978
RAW_TRACE	at cfArticle2ecfc1291681887$funcBACKSECTIONSFORABSTRACTONLYDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:2978)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

14

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	118
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor2(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:118)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

15

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	99
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor4(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:99)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

16

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor6(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

17

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447.runPage(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

18

struct
COLUMN	0
ID	CFINCLUDE
LINE	10
RAW_TRACE	at cfStaticPageLayout2ecfm1426351739.runPage(G:\www\publishha\app\views\layout\StaticPageLayout.cfm:10)
TEMPLATE	G:\www\publishha\app\views\layout\StaticPageLayout.cfm
TYPE	CFML

19

struct
COLUMN	0
ID	CFINCLUDE
LINE	30
RAW_TRACE	at cfCacheController2ecfc639388092$funcRENDERLAYOUT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:30)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

20

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	241
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLECONTENT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:241)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

21

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	327
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:327)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

22

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	39
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENCACHE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:39)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

23

struct
COLUMN	0
ID	CF_CFPAGE
LINE	634
RAW_TRACE	at cfPublishingApp2ecfc536529069$funcPROCESSREQUEST.runFunction(G:\www\publishha\app\PublishingApp.cfc:634)
TEMPLATE	G:\www\publishha\app\PublishingApp.cfc
TYPE	CFML

24

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	16
RAW_TRACE	at cfBootstrap2ecfc660975501$funcHANDLEREQUEST.runFunction(G:\www\publishha\app\Bootstrap.cfc:16)
TEMPLATE	G:\www\publishha\app\Bootstrap.cfc
TYPE	CFML

25

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	18
RAW_TRACE	at cfApplication2ecfc757760907$funcONREQUESTSTART.runFunction(G:\www\publishha\webroot\Application.cfc:18)
TEMPLATE	G:\www\publishha\webroot\Application.cfc
TYPE	CFML

Finkelstein, D. 1958, PhRv, 110, 965

An error has occurred in (ref id="R3"). Variable LPAGE is undefined. [empty string]

array

1

struct
COLUMN	0
ID	??
LINE	243
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor10(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:243)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

2

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	180
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor12(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:180)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

3

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	177
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor13(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:177)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

4

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	176
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor14(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:176)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

5

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	170
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor40(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:170)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

6

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	15
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor41(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:15)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

7

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	12
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor42(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:12)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

8

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	11
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor43(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:11)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

9

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	1
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986.runPage(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

10

struct
COLUMN	0
ID	CFINCLUDE
LINE	3230
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor150(G:\www\publishha\app\modules\journal\Article.cfc:3230)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

11

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3217
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor151(G:\www\publishha\app\modules\journal\Article.cfc:3217)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

12

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3216
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:3216)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

13

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	2978
RAW_TRACE	at cfArticle2ecfc1291681887$funcBACKSECTIONSFORABSTRACTONLYDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:2978)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

14

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	118
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor2(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:118)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

15

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	99
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor4(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:99)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

16

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor6(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

17

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447.runPage(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

18

struct
COLUMN	0
ID	CFINCLUDE
LINE	10
RAW_TRACE	at cfStaticPageLayout2ecfm1426351739.runPage(G:\www\publishha\app\views\layout\StaticPageLayout.cfm:10)
TEMPLATE	G:\www\publishha\app\views\layout\StaticPageLayout.cfm
TYPE	CFML

19

struct
COLUMN	0
ID	CFINCLUDE
LINE	30
RAW_TRACE	at cfCacheController2ecfc639388092$funcRENDERLAYOUT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:30)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

20

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	241
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLECONTENT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:241)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

21

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	327
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:327)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

22

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	39
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENCACHE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:39)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

23

struct
COLUMN	0
ID	CF_CFPAGE
LINE	634
RAW_TRACE	at cfPublishingApp2ecfc536529069$funcPROCESSREQUEST.runFunction(G:\www\publishha\app\PublishingApp.cfc:634)
TEMPLATE	G:\www\publishha\app\PublishingApp.cfc
TYPE	CFML

24

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	16
RAW_TRACE	at cfBootstrap2ecfc660975501$funcHANDLEREQUEST.runFunction(G:\www\publishha\app\Bootstrap.cfc:16)
TEMPLATE	G:\www\publishha\app\Bootstrap.cfc
TYPE	CFML

25

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	18
RAW_TRACE	at cfApplication2ecfc757760907$funcONREQUESTSTART.runFunction(G:\www\publishha\webroot\Application.cfc:18)
TEMPLATE	G:\www\publishha\webroot\Application.cfc
TYPE	CFML

Gautreau, R. 1969, PhRv, 185, 1662

An error has occurred in (ref id="R4"). Variable LPAGE is undefined. [empty string]

array

1

struct
COLUMN	0
ID	??
LINE	243
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor10(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:243)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

2

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	180
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor12(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:180)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

3

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	177
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor13(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:177)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

4

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	176
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor14(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:176)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

5

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	170
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor40(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:170)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

6

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	15
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor41(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:15)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

7

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	12
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor42(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:12)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

8

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	11
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor43(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:11)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

9

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	1
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986.runPage(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

10

struct
COLUMN	0
ID	CFINCLUDE
LINE	3230
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor150(G:\www\publishha\app\modules\journal\Article.cfc:3230)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

11

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3217
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor151(G:\www\publishha\app\modules\journal\Article.cfc:3217)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

12

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3216
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:3216)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

13

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	2978
RAW_TRACE	at cfArticle2ecfc1291681887$funcBACKSECTIONSFORABSTRACTONLYDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:2978)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

14

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	118
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor2(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:118)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

15

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	99
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor4(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:99)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

16

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor6(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

17

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447.runPage(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

18

struct
COLUMN	0
ID	CFINCLUDE
LINE	10
RAW_TRACE	at cfStaticPageLayout2ecfm1426351739.runPage(G:\www\publishha\app\views\layout\StaticPageLayout.cfm:10)
TEMPLATE	G:\www\publishha\app\views\layout\StaticPageLayout.cfm
TYPE	CFML

19

struct
COLUMN	0
ID	CFINCLUDE
LINE	30
RAW_TRACE	at cfCacheController2ecfc639388092$funcRENDERLAYOUT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:30)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

20

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	241
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLECONTENT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:241)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

21

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	327
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:327)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

22

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	39
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENCACHE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:39)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

23

struct
COLUMN	0
ID	CF_CFPAGE
LINE	634
RAW_TRACE	at cfPublishingApp2ecfc536529069$funcPROCESSREQUEST.runFunction(G:\www\publishha\app\PublishingApp.cfc:634)
TEMPLATE	G:\www\publishha\app\PublishingApp.cfc
TYPE	CFML

24

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	16
RAW_TRACE	at cfBootstrap2ecfc660975501$funcHANDLEREQUEST.runFunction(G:\www\publishha\app\Bootstrap.cfc:16)
TEMPLATE	G:\www\publishha\app\Bootstrap.cfc
TYPE	CFML

25

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	18
RAW_TRACE	at cfApplication2ecfc757760907$funcONREQUESTSTART.runFunction(G:\www\publishha\webroot\Application.cfc:18)
TEMPLATE	G:\www\publishha\webroot\Application.cfc
TYPE	CFML

Hartle, J. B. 2003, Gravity: An Introduction to Einstein's General Relativity (San Francisco: Addison Wesley),

An error has occurred in (ref id="R5"). Variable LPAGE is undefined. [empty string]

array

1

struct
COLUMN	0
ID	??
LINE	243
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor10(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:243)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

2

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	180
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor12(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:180)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

3

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	177
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor13(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:177)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

4

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	176
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor14(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:176)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

5

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	170
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor40(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:170)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

6

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	15
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor41(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:15)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

7

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	12
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor42(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:12)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

8

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	11
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor43(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:11)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

9

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	1
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986.runPage(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

10

struct
COLUMN	0
ID	CFINCLUDE
LINE	3230
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor150(G:\www\publishha\app\modules\journal\Article.cfc:3230)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

11

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3217
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor151(G:\www\publishha\app\modules\journal\Article.cfc:3217)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

12

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3216
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:3216)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

13

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	2978
RAW_TRACE	at cfArticle2ecfc1291681887$funcBACKSECTIONSFORABSTRACTONLYDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:2978)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

14

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	118
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor2(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:118)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

15

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	99
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor4(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:99)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

16

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor6(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

17

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447.runPage(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

18

struct
COLUMN	0
ID	CFINCLUDE
LINE	10
RAW_TRACE	at cfStaticPageLayout2ecfm1426351739.runPage(G:\www\publishha\app\views\layout\StaticPageLayout.cfm:10)
TEMPLATE	G:\www\publishha\app\views\layout\StaticPageLayout.cfm
TYPE	CFML

19

struct
COLUMN	0
ID	CFINCLUDE
LINE	30
RAW_TRACE	at cfCacheController2ecfc639388092$funcRENDERLAYOUT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:30)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

20

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	241
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLECONTENT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:241)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

21

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	327
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:327)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

22

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	39
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENCACHE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:39)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

23

struct
COLUMN	0
ID	CF_CFPAGE
LINE	634
RAW_TRACE	at cfPublishingApp2ecfc536529069$funcPROCESSREQUEST.runFunction(G:\www\publishha\app\PublishingApp.cfc:634)
TEMPLATE	G:\www\publishha\app\PublishingApp.cfc
TYPE	CFML

24

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	16
RAW_TRACE	at cfBootstrap2ecfc660975501$funcHANDLEREQUEST.runFunction(G:\www\publishha\app\Bootstrap.cfc:16)
TEMPLATE	G:\www\publishha\app\Bootstrap.cfc
TYPE	CFML

25

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	18
RAW_TRACE	at cfApplication2ecfc757760907$funcONREQUESTSTART.runFunction(G:\www\publishha\webroot\Application.cfc:18)
TEMPLATE	G:\www\publishha\webroot\Application.cfc
TYPE	CFML

Hobson, M. P., Efstathiou, G. P., & Lasenby, A. N. 2005, General Relativity: An Introduction for Physicists (Cambridge: Cambridge University Press),

An error has occurred in (ref id="R6"). Variable LPAGE is undefined. [empty string]

array

1

struct
COLUMN	0
ID	??
LINE	243
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor10(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:243)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

2

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	180
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor12(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:180)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

3

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	177
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor13(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:177)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

4

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	176
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor14(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:176)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

5

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	170
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor40(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:170)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

6

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	15
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor41(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:15)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

7

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	12
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor42(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:12)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

8

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	11
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor43(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:11)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

9

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	1
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986.runPage(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

10

struct
COLUMN	0
ID	CFINCLUDE
LINE	3230
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor150(G:\www\publishha\app\modules\journal\Article.cfc:3230)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

11

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3217
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor151(G:\www\publishha\app\modules\journal\Article.cfc:3217)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

12

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3216
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:3216)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

13

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	2978
RAW_TRACE	at cfArticle2ecfc1291681887$funcBACKSECTIONSFORABSTRACTONLYDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:2978)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

14

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	118
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor2(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:118)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

15

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	99
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor4(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:99)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

16

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor6(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

17

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447.runPage(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

18

struct
COLUMN	0
ID	CFINCLUDE
LINE	10
RAW_TRACE	at cfStaticPageLayout2ecfm1426351739.runPage(G:\www\publishha\app\views\layout\StaticPageLayout.cfm:10)
TEMPLATE	G:\www\publishha\app\views\layout\StaticPageLayout.cfm
TYPE	CFML

19

struct
COLUMN	0
ID	CFINCLUDE
LINE	30
RAW_TRACE	at cfCacheController2ecfc639388092$funcRENDERLAYOUT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:30)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

20

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	241
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLECONTENT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:241)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

21

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	327
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:327)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

22

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	39
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENCACHE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:39)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

23

struct
COLUMN	0
ID	CF_CFPAGE
LINE	634
RAW_TRACE	at cfPublishingApp2ecfc536529069$funcPROCESSREQUEST.runFunction(G:\www\publishha\app\PublishingApp.cfc:634)
TEMPLATE	G:\www\publishha\app\PublishingApp.cfc
TYPE	CFML

24

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	16
RAW_TRACE	at cfBootstrap2ecfc660975501$funcHANDLEREQUEST.runFunction(G:\www\publishha\app\Bootstrap.cfc:16)
TEMPLATE	G:\www\publishha\app\Bootstrap.cfc
TYPE	CFML

25

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	18
RAW_TRACE	at cfApplication2ecfc757760907$funcONREQUESTSTART.runFunction(G:\www\publishha\webroot\Application.cfc:18)
TEMPLATE	G:\www\publishha\webroot\Application.cfc
TYPE	CFML

Karlov, L., & Rindler, W. 1971, PhRvD, 3, 1035

An error has occurred in (ref id="R7"). Variable LPAGE is undefined. [empty string]

array

1

struct
COLUMN	0
ID	??
LINE	243
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor10(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:243)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

2

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	180
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor12(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:180)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

3

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	177
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor13(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:177)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

4

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	176
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor14(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:176)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

5

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	170
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor40(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:170)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

6

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	15
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor41(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:15)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

7

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	12
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor42(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:12)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

8

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	11
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor43(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:11)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

9

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	1
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986.runPage(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

10

struct
COLUMN	0
ID	CFINCLUDE
LINE	3230
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor150(G:\www\publishha\app\modules\journal\Article.cfc:3230)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

11

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3217
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor151(G:\www\publishha\app\modules\journal\Article.cfc:3217)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

12

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3216
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:3216)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

13

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	2978
RAW_TRACE	at cfArticle2ecfc1291681887$funcBACKSECTIONSFORABSTRACTONLYDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:2978)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

14

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	118
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor2(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:118)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

15

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	99
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor4(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:99)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

16

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor6(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

17

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447.runPage(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

18

struct
COLUMN	0
ID	CFINCLUDE
LINE	10
RAW_TRACE	at cfStaticPageLayout2ecfm1426351739.runPage(G:\www\publishha\app\views\layout\StaticPageLayout.cfm:10)
TEMPLATE	G:\www\publishha\app\views\layout\StaticPageLayout.cfm
TYPE	CFML

19

struct
COLUMN	0
ID	CFINCLUDE
LINE	30
RAW_TRACE	at cfCacheController2ecfc639388092$funcRENDERLAYOUT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:30)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

20

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	241
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLECONTENT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:241)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

21

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	327
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:327)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

22

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	39
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENCACHE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:39)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

23

struct
COLUMN	0
ID	CF_CFPAGE
LINE	634
RAW_TRACE	at cfPublishingApp2ecfc536529069$funcPROCESSREQUEST.runFunction(G:\www\publishha\app\PublishingApp.cfc:634)
TEMPLATE	G:\www\publishha\app\PublishingApp.cfc
TYPE	CFML

24

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	16
RAW_TRACE	at cfBootstrap2ecfc660975501$funcHANDLEREQUEST.runFunction(G:\www\publishha\app\Bootstrap.cfc:16)
TEMPLATE	G:\www\publishha\app\Bootstrap.cfc
TYPE	CFML

25

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	18
RAW_TRACE	at cfApplication2ecfc757760907$funcONREQUESTSTART.runFunction(G:\www\publishha\webroot\Application.cfc:18)
TEMPLATE	G:\www\publishha\webroot\Application.cfc
TYPE	CFML

Misner, C. W., Thorne, K. S., & Wheeler, J. A. 1973, Gravitation (San Francisco: W. H. Freeman and Co.),

An error has occurred in (ref id="R8"). Variable LPAGE is undefined. [empty string]

array

1

struct
COLUMN	0
ID	??
LINE	243
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor10(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:243)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

2

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	180
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor12(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:180)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

3

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	177
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor13(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:177)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

4

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	176
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor14(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:176)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

5

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	170
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor40(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:170)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

6

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	15
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor41(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:15)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

7

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	12
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor42(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:12)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

8

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	11
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor43(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:11)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

9

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	1
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986.runPage(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

10

struct
COLUMN	0
ID	CFINCLUDE
LINE	3230
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor150(G:\www\publishha\app\modules\journal\Article.cfc:3230)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

11

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3217
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor151(G:\www\publishha\app\modules\journal\Article.cfc:3217)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

12

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3216
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:3216)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

13

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	2978
RAW_TRACE	at cfArticle2ecfc1291681887$funcBACKSECTIONSFORABSTRACTONLYDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:2978)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

14

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	118
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor2(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:118)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

15

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	99
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor4(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:99)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

16

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor6(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

17

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447.runPage(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

18

struct
COLUMN	0
ID	CFINCLUDE
LINE	10
RAW_TRACE	at cfStaticPageLayout2ecfm1426351739.runPage(G:\www\publishha\app\views\layout\StaticPageLayout.cfm:10)
TEMPLATE	G:\www\publishha\app\views\layout\StaticPageLayout.cfm
TYPE	CFML

19

struct
COLUMN	0
ID	CFINCLUDE
LINE	30
RAW_TRACE	at cfCacheController2ecfc639388092$funcRENDERLAYOUT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:30)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

20

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	241
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLECONTENT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:241)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

21

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	327
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:327)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

22

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	39
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENCACHE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:39)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

23

struct
COLUMN	0
ID	CF_CFPAGE
LINE	634
RAW_TRACE	at cfPublishingApp2ecfc536529069$funcPROCESSREQUEST.runFunction(G:\www\publishha\app\PublishingApp.cfc:634)
TEMPLATE	G:\www\publishha\app\PublishingApp.cfc
TYPE	CFML

24

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	16
RAW_TRACE	at cfBootstrap2ecfc660975501$funcHANDLEREQUEST.runFunction(G:\www\publishha\app\Bootstrap.cfc:16)
TEMPLATE	G:\www\publishha\app\Bootstrap.cfc
TYPE	CFML

25

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	18
RAW_TRACE	at cfApplication2ecfc757760907$funcONREQUESTSTART.runFunction(G:\www\publishha\webroot\Application.cfc:18)
TEMPLATE	G:\www\publishha\webroot\Application.cfc
TYPE	CFML

Novikov, I. D. 1995, Black Holes and the Universe (Cambridge: Cambridge University Press),

An error has occurred in (ref id="R9"). Variable LPAGE is undefined. [empty string]

array

1

struct
COLUMN	0
ID	??
LINE	243
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor10(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:243)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

2

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	180
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor12(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:180)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

3

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	177
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor13(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:177)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

4

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	176
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor14(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:176)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

5

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	170
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor40(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:170)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

6

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	15
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor41(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:15)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

7

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	12
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor42(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:12)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

8

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	11
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor43(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:11)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

9

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	1
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986.runPage(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

10

struct
COLUMN	0
ID	CFINCLUDE
LINE	3230
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor150(G:\www\publishha\app\modules\journal\Article.cfc:3230)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

11

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3217
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor151(G:\www\publishha\app\modules\journal\Article.cfc:3217)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

12

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3216
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:3216)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

13

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	2978
RAW_TRACE	at cfArticle2ecfc1291681887$funcBACKSECTIONSFORABSTRACTONLYDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:2978)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

14

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	118
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor2(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:118)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

15

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	99
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor4(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:99)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

16

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor6(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

17

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447.runPage(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

18

struct
COLUMN	0
ID	CFINCLUDE
LINE	10
RAW_TRACE	at cfStaticPageLayout2ecfm1426351739.runPage(G:\www\publishha\app\views\layout\StaticPageLayout.cfm:10)
TEMPLATE	G:\www\publishha\app\views\layout\StaticPageLayout.cfm
TYPE	CFML

19

struct
COLUMN	0
ID	CFINCLUDE
LINE	30
RAW_TRACE	at cfCacheController2ecfc639388092$funcRENDERLAYOUT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:30)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

20

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	241
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLECONTENT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:241)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

21

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	327
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:327)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

22

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	39
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENCACHE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:39)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

23

struct
COLUMN	0
ID	CF_CFPAGE
LINE	634
RAW_TRACE	at cfPublishingApp2ecfc536529069$funcPROCESSREQUEST.runFunction(G:\www\publishha\app\PublishingApp.cfc:634)
TEMPLATE	G:\www\publishha\app\PublishingApp.cfc
TYPE	CFML

24

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	16
RAW_TRACE	at cfBootstrap2ecfc660975501$funcHANDLEREQUEST.runFunction(G:\www\publishha\app\Bootstrap.cfc:16)
TEMPLATE	G:\www\publishha\app\Bootstrap.cfc
TYPE	CFML

25

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	18
RAW_TRACE	at cfApplication2ecfc757760907$funcONREQUESTSTART.runFunction(G:\www\publishha\webroot\Application.cfc:18)
TEMPLATE	G:\www\publishha\webroot\Application.cfc
TYPE	CFML

Painlevé, P. 1921, CRAS, 173, 677

An error has occurred in (ref id="R10"). Variable LPAGE is undefined. [empty string]

array

1

struct
COLUMN	0
ID	??
LINE	243
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor10(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:243)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

2

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	180
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor12(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:180)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

3

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	177
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor13(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:177)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

4

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	176
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor14(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:176)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

5

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	170
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor40(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:170)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

6

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	15
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor41(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:15)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

7

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	12
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor42(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:12)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

8

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	11
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor43(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:11)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

9

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	1
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986.runPage(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

10

struct
COLUMN	0
ID	CFINCLUDE
LINE	3230
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor150(G:\www\publishha\app\modules\journal\Article.cfc:3230)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

11

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3217
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor151(G:\www\publishha\app\modules\journal\Article.cfc:3217)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

12

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3216
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:3216)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

13

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	2978
RAW_TRACE	at cfArticle2ecfc1291681887$funcBACKSECTIONSFORABSTRACTONLYDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:2978)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

14

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	118
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor2(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:118)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

15

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	99
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor4(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:99)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

16

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor6(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

17

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447.runPage(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

18

struct
COLUMN	0
ID	CFINCLUDE
LINE	10
RAW_TRACE	at cfStaticPageLayout2ecfm1426351739.runPage(G:\www\publishha\app\views\layout\StaticPageLayout.cfm:10)
TEMPLATE	G:\www\publishha\app\views\layout\StaticPageLayout.cfm
TYPE	CFML

19

struct
COLUMN	0
ID	CFINCLUDE
LINE	30
RAW_TRACE	at cfCacheController2ecfc639388092$funcRENDERLAYOUT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:30)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

20

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	241
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLECONTENT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:241)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

21

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	327
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:327)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

22

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	39
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENCACHE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:39)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

23

struct
COLUMN	0
ID	CF_CFPAGE
LINE	634
RAW_TRACE	at cfPublishingApp2ecfc536529069$funcPROCESSREQUEST.runFunction(G:\www\publishha\app\PublishingApp.cfc:634)
TEMPLATE	G:\www\publishha\app\PublishingApp.cfc
TYPE	CFML

24

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	16
RAW_TRACE	at cfBootstrap2ecfc660975501$funcHANDLEREQUEST.runFunction(G:\www\publishha\app\Bootstrap.cfc:16)
TEMPLATE	G:\www\publishha\app\Bootstrap.cfc
TYPE	CFML

25

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	18
RAW_TRACE	at cfApplication2ecfc757760907$funcONREQUESTSTART.runFunction(G:\www\publishha\webroot\Application.cfc:18)
TEMPLATE	G:\www\publishha\webroot\Application.cfc
TYPE	CFML

Rindler, W. 1960, PhRv, 119, 2082

An error has occurred in (ref id="R11"). Variable LPAGE is undefined. [empty string]

array

1

struct
COLUMN	0
ID	??
LINE	243
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor10(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:243)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

2

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	180
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor12(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:180)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

3

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	177
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor13(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:177)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

4

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	176
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor14(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:176)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

5

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	170
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor40(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:170)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

6

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	15
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor41(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:15)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

7

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	12
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor42(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:12)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

8

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	11
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor43(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:11)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

9

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	1
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986.runPage(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

10

struct
COLUMN	0
ID	CFINCLUDE
LINE	3230
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor150(G:\www\publishha\app\modules\journal\Article.cfc:3230)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

11

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3217
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor151(G:\www\publishha\app\modules\journal\Article.cfc:3217)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

12

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3216
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:3216)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

13

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	2978
RAW_TRACE	at cfArticle2ecfc1291681887$funcBACKSECTIONSFORABSTRACTONLYDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:2978)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

14

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	118
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor2(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:118)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

15

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	99
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor4(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:99)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

16

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor6(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

17

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447.runPage(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

18

struct
COLUMN	0
ID	CFINCLUDE
LINE	10
RAW_TRACE	at cfStaticPageLayout2ecfm1426351739.runPage(G:\www\publishha\app\views\layout\StaticPageLayout.cfm:10)
TEMPLATE	G:\www\publishha\app\views\layout\StaticPageLayout.cfm
TYPE	CFML

19

struct
COLUMN	0
ID	CFINCLUDE
LINE	30
RAW_TRACE	at cfCacheController2ecfc639388092$funcRENDERLAYOUT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:30)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

20

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	241
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLECONTENT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:241)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

21

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	327
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:327)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

22

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	39
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENCACHE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:39)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

23

struct
COLUMN	0
ID	CF_CFPAGE
LINE	634
RAW_TRACE	at cfPublishingApp2ecfc536529069$funcPROCESSREQUEST.runFunction(G:\www\publishha\app\PublishingApp.cfc:634)
TEMPLATE	G:\www\publishha\app\PublishingApp.cfc
TYPE	CFML

24

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	16
RAW_TRACE	at cfBootstrap2ecfc660975501$funcHANDLEREQUEST.runFunction(G:\www\publishha\app\Bootstrap.cfc:16)
TEMPLATE	G:\www\publishha\app\Bootstrap.cfc
TYPE	CFML

25

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	18
RAW_TRACE	at cfApplication2ecfc757760907$funcONREQUESTSTART.runFunction(G:\www\publishha\webroot\Application.cfc:18)
TEMPLATE	G:\www\publishha\webroot\Application.cfc
TYPE	CFML

Schwarzschild, K. 1916, Sitzungsberichte der königlich preussischen Akademie der Wissenschaften, 1, 189

An error has occurred in (ref id="R12"). Variable LPAGE is undefined. [empty string]

array

1

struct
COLUMN	0
ID	??
LINE	243
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor10(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:243)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

2

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	180
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor12(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:180)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

3

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	177
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor13(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:177)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

4

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	176
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor14(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:176)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

5

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	170
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor40(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:170)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

6

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	15
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor41(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:15)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

7

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	12
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor42(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:12)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

8

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	11
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor43(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:11)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

9

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	1
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986.runPage(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

10

struct
COLUMN	0
ID	CFINCLUDE
LINE	3230
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor150(G:\www\publishha\app\modules\journal\Article.cfc:3230)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

11

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3217
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor151(G:\www\publishha\app\modules\journal\Article.cfc:3217)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

12

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3216
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:3216)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

13

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	2978
RAW_TRACE	at cfArticle2ecfc1291681887$funcBACKSECTIONSFORABSTRACTONLYDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:2978)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

14

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	118
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor2(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:118)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

15

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	99
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor4(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:99)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

16

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor6(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

17

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447.runPage(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

18

struct
COLUMN	0
ID	CFINCLUDE
LINE	10
RAW_TRACE	at cfStaticPageLayout2ecfm1426351739.runPage(G:\www\publishha\app\views\layout\StaticPageLayout.cfm:10)
TEMPLATE	G:\www\publishha\app\views\layout\StaticPageLayout.cfm
TYPE	CFML

19

struct
COLUMN	0
ID	CFINCLUDE
LINE	30
RAW_TRACE	at cfCacheController2ecfc639388092$funcRENDERLAYOUT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:30)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

20

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	241
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLECONTENT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:241)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

21

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	327
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:327)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

22

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	39
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENCACHE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:39)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

23

struct
COLUMN	0
ID	CF_CFPAGE
LINE	634
RAW_TRACE	at cfPublishingApp2ecfc536529069$funcPROCESSREQUEST.runFunction(G:\www\publishha\app\PublishingApp.cfc:634)
TEMPLATE	G:\www\publishha\app\PublishingApp.cfc
TYPE	CFML

24

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	16
RAW_TRACE	at cfBootstrap2ecfc660975501$funcHANDLEREQUEST.runFunction(G:\www\publishha\app\Bootstrap.cfc:16)
TEMPLATE	G:\www\publishha\app\Bootstrap.cfc
TYPE	CFML

25

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	18
RAW_TRACE	at cfApplication2ecfc757760907$funcONREQUESTSTART.runFunction(G:\www\publishha\webroot\Application.cfc:18)
TEMPLATE	G:\www\publishha\webroot\Application.cfc
TYPE	CFML

Thorne, K. S. 1994, Black holes and Time Warps: Einstein's Outrageous Legacy (London: Picador),

An error has occurred in (ref id="R13"). Variable LPAGE is undefined. [empty string]

array

1

struct
COLUMN	0
ID	??
LINE	243
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor10(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:243)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

2

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	180
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor12(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:180)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

3

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	177
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor13(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:177)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

4

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	176
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor14(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:176)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

5

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	170
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor40(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:170)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

6

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	15
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor41(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:15)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

7

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	12
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor42(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:12)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

8

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	11
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986._factor43(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:11)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

9

struct
COLUMN	0
ID	CF_INCLUDEJOURNALREF_B
LINE	1
RAW_TRACE	at cfincludeJournalRef_B2ecfm1510229986.runPage(G:\www\publishha\app\views\journal\includeJournalRef_B.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\includeJournalRef_B.cfm
TYPE	CFML

10

struct
COLUMN	0
ID	CFINCLUDE
LINE	3230
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor150(G:\www\publishha\app\modules\journal\Article.cfc:3230)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

11

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3217
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1._factor151(G:\www\publishha\app\modules\journal\Article.cfc:3217)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

12

struct
COLUMN	0
ID	CF_ARTICLE
LINE	3216
RAW_TRACE	at cfArticle2ecfc1291681887$funcREFERENCESDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:3216)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

13

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	2978
RAW_TRACE	at cfArticle2ecfc1291681887$funcBACKSECTIONSFORABSTRACTONLYDTD1.runFunction(G:\www\publishha\app\modules\journal\Article.cfc:2978)
TEMPLATE	G:\www\publishha\app\modules\journal\Article.cfc
TYPE	CFML

14

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	118
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor2(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:118)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

15

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	99
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor4(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:99)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

16

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447._factor6(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

17

struct
COLUMN	0
ID	CF_GENARTICLECONTENT
LINE	1
RAW_TRACE	at cfgenArticleContent2ecfm782833447.runPage(G:\www\publishha\app\views\journal\generator\genArticleContent.cfm:1)
TEMPLATE	G:\www\publishha\app\views\journal\generator\genArticleContent.cfm
TYPE	CFML

18

struct
COLUMN	0
ID	CFINCLUDE
LINE	10
RAW_TRACE	at cfStaticPageLayout2ecfm1426351739.runPage(G:\www\publishha\app\views\layout\StaticPageLayout.cfm:10)
TEMPLATE	G:\www\publishha\app\views\layout\StaticPageLayout.cfm
TYPE	CFML

19

struct
COLUMN	0
ID	CFINCLUDE
LINE	30
RAW_TRACE	at cfCacheController2ecfc639388092$funcRENDERLAYOUT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:30)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

20

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	241
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLECONTENT.runFunction(G:\www\publishha\app\controller\CacheController.cfc:241)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

21

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	327
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENARTICLE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:327)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

22

struct
COLUMN	0
ID	CF_UDFMETHOD
LINE	39
RAW_TRACE	at cfCacheController2ecfc639388092$funcGENCACHE.runFunction(G:\www\publishha\app\controller\CacheController.cfc:39)
TEMPLATE	G:\www\publishha\app\controller\CacheController.cfc
TYPE	CFML

23

struct
COLUMN	0
ID	CF_CFPAGE
LINE	634
RAW_TRACE	at cfPublishingApp2ecfc536529069$funcPROCESSREQUEST.runFunction(G:\www\publishha\app\PublishingApp.cfc:634)
TEMPLATE	G:\www\publishha\app\PublishingApp.cfc
TYPE	CFML

24

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	16
RAW_TRACE	at cfBootstrap2ecfc660975501$funcHANDLEREQUEST.runFunction(G:\www\publishha\app\Bootstrap.cfc:16)
TEMPLATE	G:\www\publishha\app\Bootstrap.cfc
TYPE	CFML

25

struct
COLUMN	0
ID	CF_TEMPLATEPROXY
LINE	18
RAW_TRACE	at cfApplication2ecfc757760907$funcONREQUESTSTART.runFunction(G:\www\publishha\webroot\Application.cfc:18)
TEMPLATE	G:\www\publishha\webroot\Application.cfc
TYPE	CFML

¹ While the authors acknowledges that the Internet is not the ultimate font of knowledge, anyone who has marked a few undergraduate essays will know that many students see it as their only source of knowledge.

² It is more astounding that in his analysis, Eddington (1924) explicitly considered outgoing light rays which, in his transformed coordinates, clearly crossed the event horizon from the inside to the outside. While he did not note it, Eddington had uncovered the white hole Schwarzschild solution.

³ There is more than one representation of the Eddington–Finkelstein metric for the Schwarzschild solution, and often it is written in terms of an advanced time parameter. However, as this parameter is null, the metric is often recast in terms of a new time-like parameter, resulting in the metric given above (see Chapter 11.5 in Hobson, Efstathiou, & Lasenby 2005). This is explicitly the form of the metric investigated by Eddington (1924) and Finkelstein (1958).

⁴ http://grtensor.phy.queensu.ca/

⁵ http://www.llnl.gov/CASC/odepack/

⁶ An examination of a uniformly accelerating observer in special relativity displays the same relationship.

⁷ http://cosmology.berkeley.edu/Education/BHfaq.html