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On the twin paradox in static spacetimes : I. Schwarzschild metric

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On the twin paradox in static spacetimes : I. Schwarzschild metric

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dc.contributor.author Sokołowski, Lech [SAP11007832] pl
dc.date.accessioned 2019-11-29T09:50:57Z
dc.date.available 2019-11-29T09:50:57Z
dc.date.issued 2012 pl
dc.identifier.issn 0001-7701 pl
dc.identifier.uri https://ruj.uj.edu.pl/xmlui/handle/item/88219
dc.language eng pl
dc.rights Udzielam licencji. Uznanie autorstwa 2.0 *
dc.rights.uri https://creativecommons.org/licenses/by/2.0/legalcode *
dc.title On the twin paradox in static spacetimes : I. Schwarzschild metric pl
dc.type JournalArticle pl
dc.description.physical 1267-1283 pl
dc.abstract.en Motivated by a conjecture put forward by Abramowicz and Bajtlik we reconsider the twin paradox in static spacetimes. According to a well known theorem in Lorentzian geometry the longest timelike worldline between two given points is the unique geodesic line without points conjugate to the initial point on the segment joining the two points. We calculate the proper times for static twins, for twins moving on a circular orbit (if it is a geodesic) around a centre of symmetry and for twins travelling on outgoing and ingoing radial timelike geodesics. We show that the twins on the radial geodesic worldlines are always the oldest ones and we explicitly find the the conjugate points (if they exist) outside the relevant segments. As it is of its own mathematical interest, we find general Jacobi vector fields on the geodesic lines under consideration. In the first part of the work we investigate Schwarzschild geometry. pl
dc.subject.en twin paradox pl
dc.subject.en static spacetimes pl
dc.subject.en Jacobi fields pl
dc.subject.en conjugate points pl
dc.description.volume 44 pl
dc.description.number 5 pl
dc.identifier.doi 10.1007/s10714-012-1337-4 pl
dc.identifier.eissn 1572-9532 pl
dc.title.journal General Relativity and Gravitation pl
dc.language.container eng pl
dc.affiliation Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut – Obserwatorium Astronomiczne pl
dc.subtype Article pl
dc.rights.original CC-BY; inne; ostateczna wersja wydawcy; w momencie opublikowania; 0 pl
dc.identifier.project ROD UJ / OP pl
.pointsMNiSW [2012 A]: 30


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Udzielam licencji. Uznanie autorstwa 2.0 Except where otherwise noted, this item's license is described as Udzielam licencji. Uznanie autorstwa 2.0