English

Conformally standard stationary spacetimes and Fermat metrics

Differential Geometry 2012-01-10 v1 General Relativity and Quantum Cosmology

Abstract

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.

Keywords

Cite

@article{arxiv.1201.1841,
  title  = {Conformally standard stationary spacetimes and Fermat metrics},
  author = {Miguel Angel Javaloyes},
  journal= {arXiv preprint arXiv:1201.1841},
  year   = {2012}
}

Comments

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