Fermat's principle in General Relativity |
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| Authors: | Ll. Bel J. Martín |
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| Affiliation: | (1) Laboratoire de Gravitation et Cosmologie Relativistes, CNRS/URA 769, Université Pierre et Marie Curie, Tour 22-12, BoÎte 142, 4 place Jussieu, F-75252 Paris Cedex 05, France;(2) Present address: Grupo de Física Teórica, Facultad de Ciencias, Universidad de Salamanca, Pza. de la Merced s/n, 37008 Salamanca, Spain |
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| Abstract: | We derive Fermat's principle from the causal structure of spacetime, as well as from an appropriate variational principle. We show that the latter leads to a particular Hamilton-Jacobi formalism. |
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