Critical Behavior in Gravitational Collapse of Radiation Fluid: A Renormalization Group (Linear Perturbation) Analysis
Abstract
A scenario is presented, based on renormalization group (linear perturbation) ideas, which can explain the universality and scaling observed in a numerical study of gravitational collapse of radiation fluid. In particular, it is shown that the critical exponent β and the largest Lyapunov exponent Reκ of the perturbation is related by β = \(Reκ\)-1. We find the relevant perturbation mode numerically, and obtain a fairly accurate value of the critical exponent β~=0.355 801 92, also in agreement with that obtained in numerical simulation.
- Publication:
-
Physical Review Letters
- Pub Date:
- June 1995
- DOI:
- 10.1103/PhysRevLett.74.5170
- arXiv:
- arXiv:gr-qc/9503007
- Bibcode:
- 1995PhRvL..74.5170K
- Keywords:
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- General Relativity and Quantum Cosmology
- E-Print:
- 4 pages in ReVTeX, 2 uuencoded eps figures, uses BoxedEPSF.tex