On the Finiteness of Light Rays Between a Source and an Observer on Conformally Stationary Space-Times |
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| Authors: | Fabio Giannoni Antonio Masiello Paolo Piccione |
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| Affiliation: | (1) Dipartimento di Matematica e Fisica, Universitá di Camerino, Italy;(2) Dipartimento Interuniversitario di Matematica, Politecnico di Bari, Italy;(3) Departamento de Matemática, Universidade de São Paulo, Brazil |
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| Abstract: | 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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| Keywords: | Gravitational lensing |
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