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

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

1999-01-12

arxiv.org/abs/gr-qc/9901031v4

Phys.Rev.D61:081502,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages RevTeX, 5 eps figures

Scientific paper

10.1103/PhysRevD.61.081502

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 $p=\alpha\mu$. 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.

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