Rebounce and black hole formation in a gravitational collapse model with vanishing radial pressure |
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Authors: | Ashutosh Mahajan Pankaj S Joshi |
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Institution: | (1) Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, 400 005, India |
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Abstract: | We examine here 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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