On the Finiteness of Light Rays Between a Source and an Observer on Conformally Stationary Space-Times

Details On the Finiteness of Light Rays Between a Source and an Observer on Conformally Stationary Space-Times On the Finiteness of Light Rays Between a Source and an Observer on Conformally Stationary Space-Times

Mar 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001gregr..33..491g&link_type=ejournal

General Relativity and Gravitation, Volume 33, Issue 3, pp.491-514

Physics

4

Gravitational Lensing

Scientific paper

We use a convexity condition to prove the finiteness of the number of light rays joining a pointlike source with a pointlike observer in a stationary relativistic spacetime. The result is extended to the case of conformally stationary metrics under suitable boundedness assumptions on the conformal factor. We discuss our hypotheses in some explicit examples of standard static and stationary Lorentzian manifolds.

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