Critical collapse of Einstein cluster

被引：5

作者：

Mahajan, Ashutosh ^{[1
]}

Harada, Tomohiro ^{[2
,4
]}

Joshi, Pankaj ^{[1
]}

Nakao, Ken-ichi ^{[3
]}

机构：

[1] Tata Inst Fundamental Res, Bombay 400005, Maharashtra, India

[2] Rikkyo Univ, Dept Phys, Tokyo 1718501, Japan

[3] Osaka City Univ, Dept Phys, Osaka 5588585, Japan

[4] Kyoto Univ, Dept Phys, Kyoto 6068502, Japan

来源：

PROGRESS OF THEORETICAL PHYSICS | 2007年 / 118卷 / 05期

关键词：

BLACK-HOLE FORMATION; NONVANISHING TANGENTIAL STRESSES; VANISHING RADIAL PRESSURE; GRAVITATIONAL COLLAPSE; CRITICAL-BEHAVIOR; MODEL; SPACETIME;

D O I：

10.1143/PTP.118.865

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：865 / 878

页数：14

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