Conformally standard stationary spacetimes and Fermat metrics

Details Conformally standard stationary spacetimes and Fermat metrics Conformally standard stationary spacetimes and Fermat metrics

2012-01-09

arxiv.org/abs/1201.1841v1

Mathematics

Differential Geometry

It is a review on Fermat metrics; 20 pages; submitted to the Proceedings of GeLoGra 2011

Scientific paper

In this review, we collect several results for conformally standard
stationary spacetimes (SxR,g) obtained in terms of a Finsler metric of Randers
type on the orbit manifold S that we call Fermat metric. This metric is
obtained by applying the relativistic Fermat principle and it turns out that it
encodes all the causal aspects of the spacetime.

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