The twin paradox in static spacetimes and Jacobi Fields

Bibliographic description

title:	The twin paradox in static spacetimes and Jacobi Fields
author:	Sokołowski Lech
editor:	Bičák Jiří, Ledvinka Tomáš
book title:	Relativity and gravitation : 100 years after Einstein in Prague
date of publication :	2014
place of publication : name of publisher:	Cham Heidelberg New York Dordrecht London : Springer
pages:	223-227
ISBN:	978-3-319-06760-5
eISBN:	978-3-319-06761-2
series:	Springer Proceedings in Physics, ISSN 0930-8989, eISSN 1867-4941; 157
DOI:	10.1007/978-3-319-06761-2_28
language:	English
book language:	English
abstract in English:	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.
number of pulisher's sheets:	0,5
conference:	Relativity and Gravitation: 100 Years After Einstein in Prague; 2012-06-25; 2012-06-29; Praga; Czechy; ; indeksowana w Scopus; ;
affiliation:	Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut – Obserwatorium Astronomiczne
type:	chapter
subtype:	conference proceedings