Equilibrium configurations from gravitational collapse

Details Equilibrium configurations from gravitational collapse Equilibrium configurations from gravitational collapse

2011-06-27

arxiv.org/abs/1106.5438v2

2011 Class. Quantum Grav. 28 235018

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 3 figure. Replaced with published version, several changes made according to referee's advise

Scientific paper

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.

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