Critical behavior in gravitational collapse of radiation fluid: A renormalization group (linear perturbation) analysis

Tatsuhiko Koike, Takashi Hara, Satoshi Adachi

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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 β0.355 801 92, also in agreement with that obtained in numerical simulation.

Original languageEnglish
Pages (from-to)5170-5173
Number of pages4
JournalPhysical review letters
Issue number26
Publication statusPublished - 1995 Jan 1


ASJC Scopus subject areas

  • Physics and Astronomy(all)

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