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arxiv: 1201.1841 · v1 · pith:PBVOTF2Jnew · submitted 2012-01-09 · 🧮 math.DG · gr-qc

Conformally standard stationary spacetimes and Fermat metrics

classification 🧮 math.DG gr-qc
keywords fermatmetricconformallyobtainedspacetimesstandardstationaryapplying
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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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