On Fermat's principle for causal curves in time oriented Finsler spacetimes

Autor:	Torromé, Ricardo Gallego, Piccione, Paolo, Vitório, Henrique
Rok vydání:	2012
Předmět:	Mathematics - Differential Geometry General Relativity and Quantum Cosmology 53C50 53C60 53C22
Druh dokumentu:	Working Paper
DOI:	10.1063/1.4765066
Popis:	In this work, a version of Fermat's principle for causal curves with the same energy in time orientable Finsler spacetimes is proved. We calculate the secondvariation of the {\it time arrival functional} along a geodesic in terms of the index form associated with the Finsler spacetime Lagrangian. Then the character of the critical points of the time arrival functional is investigated and a Morse index theorem in the context of Finsler spacetime is presented. Comment: 20 pages, minor corrections, references added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1202.3869 Zobrazit plný text záznamu View this record from Arxiv