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RESEARCH ARTICLE
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

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Einstein, A. 1939, AnMat, 40, 922
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Finkelstein, D. 1958, PhRv, 110, 965
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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
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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