Regular and quasi black hole solutions for spherically symmetric charged dust distributions in the Einstein-Maxwell theory
General Relativity and Quantum Cosmology
2007-11-13 v3
Abstract
Static spherically symmetric distributions of electrically counterpoised dust (ECD) are used to construct solutions to Einstein-Maxwell equations in Majumdar--Papapetrou formalism. Unexpected bifurcating behaviour of solutions with regard to source strength is found for localized, as well as for the delta-function ECD distributions. Unified treatment of general ECD distributions is accomplished and it is shown that for certain source strengths one class of regular solutions approaches Minkowski spacetime, while the other comes arbitrarily close to black hole solutions.
Keywords
Cite
@article{arxiv.gr-qc/0409103,
title = {Regular and quasi black hole solutions for spherically symmetric charged dust distributions in the Einstein-Maxwell theory},
author = {Dubravko Horvat and Sasa Ilijic and Zoran Narancic},
journal= {arXiv preprint arXiv:gr-qc/0409103},
year = {2007}
}
Comments
LaTeX (IOP style) 17 pages, 10 figures