An Analytic Model with Critical Behavior in Black Hole Formation

Details An Analytic Model with Critical Behavior in Black Hole Formation An Analytic Model with Critical Behavior in Black Hole Formation

1994-09-21

arxiv.org/abs/gr-qc/9409045v2

Phys.Rev. D51 (1995) 4045-4053

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21pp., ReVTeX, 7 figures (postscript, compressed and uuencoded), TIT/HEP-266/COSMO-46

Scientific paper

10.1103/PhysRevD.51.4045

A simple analytic model is presented which exhibits a critical behavior in black hole formation, namely, collapse of a thin shell coupled with outgoing null fluid. It is seen that the critical behavior is caused by the gravitational nonlinearity near the event horizon. We calculate the value of the critical exponent analytically and find that it is very dependent on the coupling constants of the system.

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