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

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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.
15 pages. Lemma 2.1 modified due to an incorrect statement

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Differential Geometry, 53C22, 53C50, 53C60, 58B20

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http://salesiana.dossiersoluciones.com/handle/123456789/162213

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.0488
 http://arxiv.org/abs/0803.0488

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arXiv