On a Fermat Principle in General Relativity. A Morse Theory for Light Rays

Details On a Fermat Principle in General Relativity. A Morse Theory for Light Rays On a Fermat Principle in General Relativity. A Morse Theory for Light Rays

Jul 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996gregr..28..855g&link_type=abstract

General Relativity and Gravitation, Volume 28, Issue 7, pp.855-897

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8

Scientific paper

In this paper an infinite dimensional Morse theory for lightlike geodesics joining a point with a timelike curve on a class of Lorentzian manifolds is developed under intrinsic assumptions. It yields applications to the gravitational lens effect. In particular we show that the number of images in the gravitational lens effect is infinite or odd.

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