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. The Morse relations are obtained under the most general assumptions and one can apply them to have a mathematical description of the gravitational lens effect in a very general context. Moreover, Morse relations can be used to check if existing models are corrected.
|Titolo:||The Fermat principle in general relativity and applications|
|Data di pubblicazione:||2002|
|Digital Object Identifier (DOI):||10.1063/1.1415428|
|Appare nelle tipologie:||1.1 Articolo in rivista|