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Rebounce and Black hole formation in a Gravitational Collapse Model with Vanishing Radial Pressure
General Relativity and Quantum Cosmology · Submitted 30 Nov 2005
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We examine spherical gravitational collapse of a matter model with vanishing radial pressure and non-zero tangential pressure. | contribution 0.85 | 0.79 | 0.04 | asserted 0.83 |
| s1 | 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. | result 1.00 | 0.91 | 0.73 | asserted 1.00 |
| s2 | 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. | result 1.00 | 0.92 | 0.23 | asserted 0.98 |
| s3 | 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. | interpretation 0.96 | 0.60 | 0.09 | hedged possibility 0.99 |
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Original abstract
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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