Rebounce and Black hole formation in a Gravitational Collapse Model with Vanishing Radial Pressure

Details Rebounce and Black hole formation in a Gravitational Collapse Model with Vanishing Radial Pressure Rebounce and Black hole formation in a Gravitational Collapse Model with Vanishing Radial Pressure

2005-11-30

arxiv.org/abs/gr-qc/0511164v2

Gen.Rel.Grav.39:825-838,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, To be published in Gen.Rel.Grav

Scientific paper

10.1007/s10714-007-0424-4

We examine spherical gravitational collapse of a matter model with vanishing radial pressure and non-zero tangential pressure. It is seen analytically that the collapsing cloud either forms a black hole or disperses depending on values of the initial parameters which are initial density, tangential pressure and velocity profile of the cloud. A threshold of black hole formation is observed near which a scaling relation is obtained for the mass of black hole, assuming initial profiles to be smooth. The similarities in the behaviour of this model at the onset of black hole formation with that of numerical critical behaviour in other collapse models are indicated.

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