English

On Pseudospherically Symmetric Repulsive Gravitational Field

General Relativity and Quantum Cosmology 2009-09-25 v2

Abstract

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.

Keywords

Cite

@article{arxiv.gr-qc/9509018,
  title  = {On Pseudospherically Symmetric Repulsive Gravitational Field},
  author = {Luis A. Anchordoqui and Graciela S. Birman and Jose D. Edelstein and Carlos Núñez},
  journal= {arXiv preprint arXiv:gr-qc/9509018},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T12:50:35.478Z