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Phys. Rev. D 61, 081502(R) (2000) [5 pages]

Critical phenomena and a new class of self-similar spherically symmetric perfect-fluid solutions

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B. J. Carr1,*, A. A. Coley2,†, M. Goliath3,‡, U. S. Nilsson4,§, and C. Uggla5,**
1Astronomy Unit, Queen Mary and Westfield College, University of London, Mile End Road, London E1 4NS, England
2Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia, B3H 3J5, Canada
3Department of Physics, Stockholm University, Box 6730, S-113 85 Stockholm, Sweden
4Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
5Department of Physics, University of Karlstad, S-651 88 Karlstad, Sweden

Received 13 January 1999; published 20 March 2000

We consider the self-similar solutions associated with the critical behavior observed in the gravitational collapse of spherically symmetric perfect fluids with the equation of state p=αμ. We identify for the first time the global nature of these solutions and show that it is sensitive to the value of α. In particular, for α>0.28, we show that the critical solution is associated with a new class of asymptotically Minkowski self-similar spacetimes. We discuss some of the implications of this for critical phenomena.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.61.081502
DOI:
10.1103/PhysRevD.61.081502
PACS:
04.20.Jb, 04.20.Cv, 04.40.Nr, 98.80.Hw

*Email address: B.J.Carr@qmw.ac.uk

†Email address: aac@mscs.dal.ca

‡Email address: goliath@physto.se

§Email address: unilsson@mercator.math.uwaterloo.ca

**Email address: uggla@physto.se

 
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