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The Twin Paradox in Static Spacetimes and Jacobi Fields

Authors :
Leszek M. Sokołowski
Source :
Springer Proceedings in Physics ISBN: 9783319067605
Publication Year :
2014
Publisher :
Springer International Publishing, 2014.

Abstract

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.

Details

ISBN :
978-3-319-06760-5
ISBNs :
9783319067605
Database :
OpenAIRE
Journal :
Springer Proceedings in Physics ISBN: 9783319067605
Accession number :
edsair.doi.dedup.....9258f8e6156b2e5ce3f8e2c6e468cce8
Full Text :
https://doi.org/10.1007/978-3-319-06761-2_28