The Fermat principle in general relativity and applications | Zendy

Fabio Giani | Zendy; Antonio Masiello | Zendy; Paolo Piccione | Zendy

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The Fermat principle in general relativity and applications

Author(s) -

Fabio Giani,

Antonio Masiello,

Paolo Piccione

Publication year - 2002

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.1415428

Subject(s) - general relativity , fermat's last theorem , mathematics , morse theory , morse code , closed timelike curve , context (archaeology) , boundary (topology) , gravitation , manifold (fluid mechanics) , physics , theoretical physics , pure mathematics , mathematical analysis , classical mechanics , calculus (dental) , computer science , quantum mechanics , spacetime , dentistry , biology , mechanical engineering , medicine , telecommunications , paleontology , engineering

In this paper we use a general version of Fermat's principle for light raysin General Relativity and a curve shortening method to write the Morserelations for light rays joining an event with a smooth timelike curve in aLorentzian manifold with boundary. As a physical meaning, one can apply the Morse relations to have amathematical description of the "gravitational lens effect" in a very generalcontext.

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