Critical behaviour in gravitational collapse of radiation fluid --- A renormalization group (linear perturbation) analysis ---

Details Critical behaviour in gravitational collapse of radiation fluid --- A renormalization group (linear perturbation) analysis --- Critical behaviour in gravitational collapse of radiation fluid --- A renormalization group (linear perturbation) analysis ---

1995-03-06

arxiv.org/abs/gr-qc/9503007v1

Phys.Rev.Lett. 74 (1995) 5170-5173

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages in ReVTeX, 2 uuencoded eps figures, uses BoxedEPSF.tex

Scientific paper

10.1103/PhysRevLett.74.5170

A scenario is presented, based on renormalization group (linear perturbation) ideas, which can explain the self-similarity and scaling observed in a numerical study of gravitational collapse of radiation fluid. In particular, it is shown that the critical exponent $\beta$ and the largest Lyapunov exponent ${\rm Re\, } \kappa$ of the perturbation is related by $\beta= ({\rm Re\, } \kappa) ^{-1}$. We find the relevant perturbation mode numerically, and obtain a fairly accurate value of the critical exponent $\beta \simeq 0.3558019$, also in agreement with that obtained in numerical simulation.

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