W dniach od 2 kwietnia do 5 kwietnia 2024 r. prowadzone będą prace związane z wdrożeniem nowej wersji systemu Repozytorium UJ. Nie będzie możliwe wprowadzanie nowych informacji do repozytorium. Za utrudnienia przepraszamy.
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