t-PERIODIC LIGHT RAYS IN CONFORMALLY STATIONARY SPACETIMES VIA FINSLER GEOMETRY
نویسندگان
چکیده
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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