1202.3869 (Ricardo Gallego Torromé et al.)

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

Ricardo Gallego Torromé, Paolo Piccione, Henrique Vitório

Fermat's principle for causal curves with the same energy in time orientable
Finsler spacetimes is obtained. We calculate the second variation of the time
arrival time functional along a geodesic in terms of the index form associated
with the Lagrangian L. Then, we study of the character of the geodesics and a
Morse index theorem is presented.

View original: http://arxiv.org/abs/1202.3869