$t$-periodic light rays in conformally stationary spacetimes via Finsler geometry

Leonardo Biliotti; Miguel Angel Javaloyes

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arXiv · 0803.0488

$t$-periodic light rays in conformally stationary spacetimes via Finsler geometry

Leonardo Biliotti·Miguel Angel Javaloyes

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Abstract

In this paper we prove several multiplicity results of $t$-periodic light rays in conformally stationary spacetimes using the Fermat metric and the extensions of the classical theorems of Gromoll-Meyer and Bangert-Hingston to Finsler manifolds. Moreover, we exhibit some stationary spacetimes with a finite number of $t$-periodic light rays and compute a lower bound for the period of the light rays when the flag curvature of the Fermat metric is $η$-pinched.

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BibTeX RIS

Leonardo Biliotti, Miguel Angel Javaloyes. 2008-06-05. $t$-periodic light rays in conformally stationary spacetimes via Finsler geometry. https://arxiv.org/abs/0803.0488

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