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25 April 2024

» arxiv » gr-qc/9901031

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Critical phenomena and a new class of self-similar spherically symmetric perfect-fluid solutions
B. J. Carr ; A. A. Coley ; M. Goliath ; U. S. Nilsson ; C. Uggla ;
Date:	12 Dec 1998
Journal:	Phys.Rev. D61 (2000) 081502
Subject:	gr-qc
Abstract:	We consider the self-similar solutions associated with the critical behavior observed in the gravitational collapse of spherically symmetric perfect fluids with equation of state $p=alphamu$. We identify for the first time the global nature of these solutions and show that it is sensitive to the value of $alpha$. In particular, for $alpha>0.28$, 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.
Source:	arXiv, gr-qc/9901031
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