Critical Behaviour in Gravitational Collapse of a Yang-Mills Field

Details Critical Behaviour in Gravitational Collapse of a Yang-Mills Field Critical Behaviour in Gravitational Collapse of a Yang-Mills Field

1996-03-27

arxiv.org/abs/gr-qc/9603051v1

Phys.Rev.Lett. 77 (1996) 424-427

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, REVTeX 3.0, 5 figures included

Scientific paper

10.1103/PhysRevLett.77.424

We present results from a numerical study of spherically-symmetric collapse of a self-gravitating, SU(2) gauge field. Two distinct critical solutions are observed at the threshold of black hole formation. In one case the critical solution is discretely self-similar and black holes of arbitrarily small mass can form. However, in the other instance the critical solution is the n=1 static Bartnik-Mckinnon sphaleron, and black hole formation turns on at finite mass. The transition between these two scenarios is characterized by the superposition of both types of critical behaviour.

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