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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
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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 $p=αμ$. 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.

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B. J. Carr, A. A. Coley, M. Goliath, U. S. Nilsson, C. Uggla. 1999-12-06. Critical phenomena and a new class of self-similar spherically symmetric perfect-fluid solutions. https://doi.org/10.1103/physrevd.61.081502

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