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Phys. Rev. Lett. 77, 424–427 (1996)

Critical Behavior in Gravitational Collapse of a Yang-Mills Field

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Matthew W. Choptuik
Center for Relativity, The University of Texas at Austin, Austin, Texas 78712-1081

Tadeusz Chmaj
Princeton University Observatory, Princeton, New Jersey 08544-1001

Piotr Bizoń
Department of Physics, Jagiellonian University, Cracow, Poland

Received 26 March 1996; revised 31 May 1996; published in the issue dated 15 July 1996

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 behavior.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.77.424
DOI:
10.1103/PhysRevLett.77.424
PACS:
04.25.Dm, 04.40.Nr, 04.70.Bw