On critical behaviour in gravitational collapse

Details On critical behaviour in gravitational collapse On critical behaviour in gravitational collapse

1995-05-16

arxiv.org/abs/gr-qc/9505024v1

Class.Quant.Grav. 13 (1996) 1183-1190

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, RevTex, 2 figures (available from VH)

Scientific paper

10.1088/0264-9381/13/5/028

We give an approach to studying the critical behaviour that has been observed in numerical studies of gravitational collapse. These studies suggest, among other things, that black holes initially form with infinitesimal mass. We show generally how a black hole mass formula can be extracted from a transcendental equation. Using our approach, we give an explicit one parameter set of metrics that are asymptotically flat and describe the collapse of apriori unspecified but physical matter fields. The black hole mass formula obtained from this metric exhibits a mass gap - that is, at the onset of black hole formation, the mass is finite and non-zero.

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