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

175 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 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Critical behavior in gravitational collapse of radiation fluid: A renormalization group (linear perturbation) analysis'. Together they form a unique fingerprint.

  • Cite this