Equilibrium configurations from gravitational collapse
Abstract
We develop here a new procedure within Einstein's theory of gravity to generate equilibrium configurations that result as the final state of gravitational collapse from regular initial conditions. As a simplification, we assume that the collapsing fluid is supported only by tangential pressure. We show that the equilibrium geometries generated by this method form a subset of static solutions to the Einstein equations, and that they can either be regular or develop a naked singularity at the center. When a singularity is present, there are key differences in the properties of stable circular orbits relative to those around a Schwarzschild black hole with the same mass. Therefore, if an accretion disk is present around such a naked singularity it could be observationally distinguished from a disk around a black hole.
Cite
@article{arxiv.1106.5438,
title = {Equilibrium configurations from gravitational collapse},
author = {Pankaj S. Joshi and Daniele Malafarina and Ramesh Narayan},
journal= {arXiv preprint arXiv:1106.5438},
year = {2015}
}
Comments
13 pages, 3 figure. Replaced with published version, several changes made according to referee's advise