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

Simple item page
dc.creatorBiliotti, Leonardo
dc.creatorJavaloyes, Miguel Angel
dc.date2008-03-04
dc.date2008-06-05
dc.date.accessioned2026-07-07T09:42:31Z
dc.date.available2026-07-07T09:42:31Z
dc.descriptionIn 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.
dc.description15 pages. Lemma 2.1 modified due to an incorrect statement
dc.identifierhttps://arxiv.org/abs/0803.0488
dc.identifierhttp://arxiv.org/abs/0803.0488
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162213
dc.subjectDifferential Geometry
dc.subject53C22, 53C50, 53C60, 58B20
dc.title$t$-periodic light rays in conformally stationary spacetimes via Finsler geometry
dc.typetext

Files

Collections

arXiv