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.

The Fermat principle in general relativity and applications / Giannoni, F.; Masiello, A.; Piccione, P.. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - STAMPA. - 43:1(2002), pp. 563-596. [10.1063/1.1415428]

The Fermat principle in general relativity and applications

Masiello, A.;
2002-01-01

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. 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.
2002
The Fermat principle in general relativity and applications / Giannoni, F.; Masiello, A.; Piccione, P.. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - STAMPA. - 43:1(2002), pp. 563-596. [10.1063/1.1415428]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/10435
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