Critical Collapse of Einstein Cluster

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dc.creatorMahajan, Ashutosh
dc.creatorHarada, Tomohiro
dc.creatorJoshi, Pankaj S.
dc.creatorNakao, Ken-ichi
dc.date2007-10-23
dc.date.accessioned2026-07-07T11:12:32Z
dc.date.available2026-07-07T11:12:32Z
dc.descriptionWe 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.
dc.descriptionAccepted for publication in Prog. Theor. Phys
dc.identifierhttps://arxiv.org/abs/0710.4315
dc.identifierhttp://arxiv.org/abs/0710.4315
dc.identifierProg.Theor.Phys.118:865-878,2007
dc.identifierdoi:10.1143/PTP.118.865
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191412
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleCritical Collapse of Einstein Cluster
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