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Geodesic Connectedness in Generalized Reissner-Nordström Type Lorentz Manifolds

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Abstract

A detailed study of the existence, causal character and multiplicity of geodesics joining two points is carried out for a wide family of non-static Lorentz manifolds (including intermediate Reissner-Nordström, inner Schwarzschild and Generalized Robertson-Walker spacetimes). Results relating causality and connectedness by timelike or lightlike geodesics are obtained, in the spirit of the well-known Avez-Seifert result. The existence of closed spacelike geodesics is also characterized.

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  1. Miguel Sánchez
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Sánchez, M. Geodesic Connectedness in Generalized Reissner-Nordström Type Lorentz Manifolds. General Relativity and Gravitation 29, 1023–1037 (1997). https://doi.org/10.1023/A:1018824709846

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