The twin paradox in static spacetimes and Jacobi Fields

2014
book section
conference proceedings
cris.lastimport.wos2024-04-09T20:14:35Z
dc.abstract.enThe twin paradox of special relativity formulated in the geometrical setting of general relativity gives rise to the problem of determining the longest timelike curve between a given pair of points. As a first step one solves the local problem for a bundle of nearby curves (geodesics) in terms of Jacobi fields and conjugate points. These provide important information about geometrical properties of the given spacetime. The second step, to determine the globally maximal length curve in the set of all timelike curves with common endpoints, is harder and may be effectively performed only in spacetimes with high symmetries.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut – Obserwatorium Astronomicznepl
dc.conferenceRelativity and Gravitation: 100 Years After Einstein in Praguepl
dc.conference.cityPraga
dc.conference.countryCzechy
dc.conference.datefinish2012-06-29
dc.conference.datestart2012-06-25
dc.conference.indexscopustrue
dc.contributor.authorSokołowski, Lech - 127101 pl
dc.contributor.editorBičák, Jiřípl
dc.contributor.editorLedvinka, Tomášpl
dc.date.accessioned2015-04-27T08:10:57Z
dc.date.available2015-04-27T08:10:57Z
dc.date.issued2014pl
dc.description.conftypeinternationalpl
dc.description.physical223-227pl
dc.description.publication0,5pl
dc.description.seriesSpringer Proceedings in Physics
dc.description.seriesnumber157
dc.identifier.doi10.1007/978-3-319-06761-2_28pl
dc.identifier.eisbn978-3-319-06761-2pl
dc.identifier.isbn978-3-319-06760-5pl
dc.identifier.serieseissn1867-4941
dc.identifier.seriesissn0930-8989
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/5785
dc.languageengpl
dc.language.containerengpl
dc.pubinfoChampl
dc.pubinfoHeidelbergpl
dc.rights.licencebez licencji
dc.subtypeConferenceProceedingspl
dc.titleThe twin paradox in static spacetimes and Jacobi Fieldspl
dc.title.containerRelativity and gravitation : 100 years after Einstein in Praguepl
dc.typeBookSectionpl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-09T20:14:35Z
dc.abstract.enpl
The twin paradox of special relativity formulated in the geometrical setting of general relativity gives rise to the problem of determining the longest timelike curve between a given pair of points. As a first step one solves the local problem for a bundle of nearby curves (geodesics) in terms of Jacobi fields and conjugate points. These provide important information about geometrical properties of the given spacetime. The second step, to determine the globally maximal length curve in the set of all timelike curves with common endpoints, is harder and may be effectively performed only in spacetimes with high symmetries.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut – Obserwatorium Astronomiczne
dc.conferencepl
Relativity and Gravitation: 100 Years After Einstein in Prague
dc.conference.city
Praga
dc.conference.country
Czechy
dc.conference.datefinish
2012-06-29
dc.conference.datestart
2012-06-25
dc.conference.indexscopus
true
dc.contributor.authorpl
Sokołowski, Lech - 127101
dc.contributor.editorpl
Bičák, Jiří
dc.contributor.editorpl
Ledvinka, Tomáš
dc.date.accessioned
2015-04-27T08:10:57Z
dc.date.available
2015-04-27T08:10:57Z
dc.date.issuedpl
2014
dc.description.conftypepl
international
dc.description.physicalpl
223-227
dc.description.publicationpl
0,5
dc.description.series
Springer Proceedings in Physics
dc.description.seriesnumber
157
dc.identifier.doipl
10.1007/978-3-319-06761-2_28
dc.identifier.eisbnpl
978-3-319-06761-2
dc.identifier.isbnpl
978-3-319-06760-5
dc.identifier.serieseissn
1867-4941
dc.identifier.seriesissn
0930-8989
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/5785
dc.languagepl
eng
dc.language.containerpl
eng
dc.pubinfopl
Cham
dc.pubinfopl
Heidelberg
dc.rights.licence
bez licencji
dc.subtypepl
ConferenceProceedings
dc.titlepl
The twin paradox in static spacetimes and Jacobi Fields
dc.title.containerpl
Relativity and gravitation : 100 years after Einstein in Prague
dc.typepl
BookSection
dspace.entity.type
Publication

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