Repulsive gravity near naked singularities and point massive particles

Abstract

We investigate the existence of repulsive gravitational acceleration near naked singularities. The investigation is carried out by means of the acceleration tensor, which is a coordinate invariant object. We find that the gravitational acceleration is repulsive in the vicinity of the origin in the Reissner-Nordstrøm and in the Kerr space-times, and attractive at large distances in the expected Newtonian way. We further address the space-time of a point massive particle, which also exhibits repulsive effects near the origin.

14 pages, no figures, referenced added, published in the General Relativity and Gravitation Journal

References in corpus (9)

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• Spacetime Singularities and Cosmic Censorship Conjecture: A Review with Some Thoughts
• Geodesics of the hyperbolically symmetric black hole
• The Teleparallel Equivalent of General Relativity and the Gravitational Centre of Mass
• Gliner Vacuum, Self-consistent Theory of Ruppeiner Geometry for Regular Black Holes
• Repulsive gravity effects in horizon formation. Horizon remnants in naked singularities
• Physical properties of a source of the Kerr metric: Bound on the surface gravitational potential and conditions for the fragmentation
• Exact results in a punctured neighborhood of a strong curvature singularity
• Shedding Light on Naked Singularities