English

Repulsive gravity near naked singularities and point massive particles

General Relativity and Quantum Cosmology 2014-05-07 v2

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-Nordstr{\o}m 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.

Cite

@article{arxiv.1401.0741,
  title  = {Repulsive gravity near naked singularities and point massive particles},
  author = {J. W. Maluf},
  journal= {arXiv preprint arXiv:1401.0741},
  year   = {2014}
}

Comments

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

R2 v1 2026-06-22T02:38:56.248Z