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

Torrome, Ricardo Gallego; Piccione, Paolo; Vitorio, Henrique

Advanced search

Search - Use quotation marks to get a more specific result

Index

Field of knowledge

Start date

Betweenand

(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

Full text
Author(s):	Torrome, Ricardo Gallego ^[1] ; Piccione, Paolo ^[1] ; Vitorio, Henrique ^[1] Total Authors: 3
Affiliation:	^[1] Univ Sao Paulo, Inst Matemat & Estat, BR-09500900 Sao Paulo - Brazil Total Affiliations: 1
Document type:	Journal article
Source:	Journal of Mathematical Physics; v. 53, n. 12 DEC 2012.
Web of Science Citations:	15
Abstract
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)

FAPESP's process:	10/11934-6 - GLOBAL ASPECTS IN FINSLER AND LORENTZIAN GEOMETRY
Grantee:	Ricardo Gallego Torrome
Support Opportunities:	Scholarships in Brazil - Post-Doctoral

Short URL