caa a22 4500 467887934 CHVBK 20180406152740.0 cr unu---uuuuu 170328e20060201xx s 000 0 eng 10.1007/s10714-005-0225-6 doi (NATIONALLICENCE)springer-10.1007/s10714-005-0225-6 Perlick Volker TU Berlin, Sekr. PN 7-1, 10623, Berlin, Germany aut Fermat principle in Finsler spacetimes [Elektronische Daten] [Volker Perlick] It is shown that, on a manifold with a Finsler metric of Lorentzian signature, the lightlike geodesics satisfy the following variational principle. Among all lightlike curves from a point q (emission event) to a timelike curve γ (worldline of receiver), the lightlike geodesics make the arrival time stationary. Here "arrival time” refers to a parametrization of the timelike curve γ. This variational principle can be applied (i) to the vacuum light rays in an alternative spacetime theory, based on Finsler geometry, and (ii) to light rays in an anisotropic non-dispersive medium with a general-relativistic spacetime as background. Springer-Verlag, 2005 Geodesics nationallicence Variational principle nationallicence General Relativity and Gravitation Springer US; http://www.springer-ny.com 38/2(2006-02-01), 365-380 0001-7701 38:2<365 2006 38 10714 https://doi.org/10.1007/s10714-005-0225-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-005-0225-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Perlick Volker TU Berlin, Sekr. PN 7-1, 10623, Berlin, Germany aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 38/2(2006-02-01), 365-380 0001-7701 38:2<365 2006 38 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer