On Pseudospherically Symmetric Repulsive Gravitational Field

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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4 pages, latex, no figures, references added. To be published in the Proceedings of the XVI Brazilian National Meeting on Part

Scientific paper

Solutions of Einstein vacuum equations, for a static pseudospherically symmetric system, are presented. They describe a naked singularity and a singular solution with many resemblances to the Schwartzschild solution but with two major differences: its static region, lying inside the null horizon, sees the singularity, and its effective gravitational field is repulsive. We shortly discuss on the phenomenological plausibility of this last solution as a self-consistent system living on a space-time domain, and discuss some features of particle geodesics in its gravitational field.

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