The Fermat Principle in General Relativity and Applications
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
In this paper we use a general version of Fermat's principle for light rays in General Relativity and a curve shortening method to write the Morse relations for light rays joining an event with a smooth timelike curve in a Lorentzian manifold with boundary. As a physical meaning, one can apply the Morse relations to have a mathematical description of the "gravitational lens effect" in a very general context.
Keywords
Cite
@article{arxiv.math-ph/9906023,
title = {The Fermat Principle in General Relativity and Applications},
author = {Fabio Giannoni and Antonio Masiello and Paolo Piccione},
journal= {arXiv preprint arXiv:math-ph/9906023},
year = {2007}
}
Comments
Plain TeX, 42 pages