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

Tatsuhiko Koike, Takashi Hara, Satoshi Adachi

Research output: Contribution to journalArticle

174 Citations (Scopus)

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 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
Volume74
Issue number26
DOIs
Publication statusPublished - 1995
Externally publishedYes

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gravitational collapse
exponents
perturbation
fluids
radiation
scaling
simulation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Critical behavior in gravitational collapse of radiation fluid : A renormalization group (linear perturbation) analysis. / Koike, Tatsuhiko; Hara, Takashi; Adachi, Satoshi.

In: Physical Review Letters, Vol. 74, No. 26, 1995, p. 5170-5173.

Research output: Contribution to journalArticle

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