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

Autor(es)

Torrome, Ricardo Gallego ^[1] ; Piccione, Paolo ^[1] ; Vitorio, Henrique ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Matemat & Estat, BR-09500900 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Mathematical Physics; v. 53, n. 12 DEC 2012.
• Citações Web of Science: 15

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] (AU)

• Processo FAPESP: 10/11934-6 - Aspetos globais in geometria Finsler e Lorentziana
• Beneficiário: Ricardo Gallego Torrome
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado