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The local and global geometrical aspects of the twin paradox in static spacetimes : II. Reissner–Nordström and ultrastatic metrics

The local and global geometrical aspects of the twin ...

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dc.contributor.author Sokołowski, Lech [SAP11007832] pl
dc.contributor.author Golda, Zdzisław [SAP11010725] pl
dc.date.accessioned 2015-03-13T10:11:35Z
dc.date.available 2015-03-13T10:11:35Z
dc.date.issued 2014 pl
dc.identifier.issn 0587-4254 pl
dc.identifier.uri http://ruj.uj.edu.pl/xmlui/handle/item/3795
dc.language eng pl
dc.title The local and global geometrical aspects of the twin paradox in static spacetimes : II. Reissner–Nordström and ultrastatic metrics pl
dc.type JournalArticle pl
dc.description.physical 1713-1741 pl
dc.abstract.en This is a consecutive paper on the timelike geodesic structure of static spherically symmetric spacetimes. First, we show that for a stable circular orbit (if it exists) in any of these spacetimes all the infinitesimally close to it timelike geodesics constructed with the aid of the general geodesic deviation vector have the same length between a pair of conjugate points. In Reissner–Nordström black hole metric, we explicitly find the Jacobi fields on the radial geodesics and show that they are locally (and globally) maximal curves between any pair of their points outside the outer horizon. If a radial and circular geodesics in R–N metric have common endpoints, the radial one is longer. If a static spherically symmetric spacetime is ultrastatic, its gravitational field exerts no force on a free particle which may stay at rest; the free particle in motion has a constant velocity (in this sense the motion is uniform) and its total energy always exceeds the rest energy, i.e. it has no gravitational energy. Previously, the absence of the gravitational force has been known only for the global Barriola–Vilenkin monopole. In the spacetime of the monopole, we explicitly find all timelike geodesics, the Jacobi fields on them and the condition under which a generic geodesic may have conjugate points. pl
dc.description.volume 45 pl
dc.description.number 8 pl
dc.identifier.doi 10.5506/APhysPolB.45.1713 pl
dc.identifier.eissn 1509-5770 pl
dc.title.journal Acta Physica Polonica. B 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; otwarte czasopismo; ostateczna wersja wydawcy; w momencie opublikowania; 0 pl
.pointsMNiSW [2014 A]: 20


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