On Fermat's principle for causal curves in time oriented Finsler spacetimes
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
29/10/2013
29/10/2013
2012
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| Resumo |
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 second variation of the 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. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4765066] FAPESP FAPESP [2010/11934-6] CNPq CNPq Fapesp, Brazil FAPESP (Brazil) CNPq [150124/2011-2] CNPq |
| Identificador |
JOURNAL OF MATHEMATICAL PHYSICS, MELVILLE, v. 53, n. 12, supl. 1, Part 3, pp. 90-95, DEC, 2012 0022-2488 http://www.producao.usp.br/handle/BDPI/36448 10.1063/1.4765066 |
| Idioma(s) |
eng |
| Publicador |
AMER INST PHYSICS MELVILLE |
| Relação |
JOURNAL OF MATHEMATICAL PHYSICS |
| Direitos |
restrictedAccess Copyright AMER INST PHYSICS |
| Palavras-Chave | #GENERAL-RELATIVITY #SPACES #PHYSICS, MATHEMATICAL |
| Tipo |
article original article publishedVersion |
