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Equilibrium configurations from gravitational collapse

Pankaj S. JoshiTata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai 400005, IndiaDaniele MalafarinaTata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai 400005, IndiaRamesh NarayanHarvard-Smithsonian Center for Astrophysics, 60 Garden Street, Cambridge, MA 02138, USA
2011en
ABI

Аннотация

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
\ngenerated 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
\ndistinguished from a disk around a black hole.

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