Critical Collapse of Einstein Cluster

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We observe critical phenomena in spherically symmetric gravitational collapse of Einstein Cluster. We show analytically that the collapse evolution ends either in formation of a black hole or in dispersal depending on the values of initial parameters which characterize initial density and angular momentum of the collapsing cloud. Near the threshold of black hole formation, we obtain scaling relation for the mass of the black hole and find the critical exponent value to be 3/2. We numerically confirm that there exist wide ranges of initial parameter values around the critical configuration for which the model remains shell-crossing free.
Accepted for publication in Prog. Theor. Phys

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/191412

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.4315
 http://arxiv.org/abs/0710.4315
 Prog.Theor.Phys.118:865-878,2007
 doi:10.1143/PTP.118.865

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arXiv