Critical Collapse of Einstein Cluster

Details Critical Collapse of Einstein Cluster Critical Collapse of Einstein Cluster

2007-10-23

arxiv.org/abs/0710.4315v1

Prog.Theor.Phys.118:865-878,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Accepted for publication in Prog. Theor. Phys

Scientific paper

10.1143/PTP.118.865

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.

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