### 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 language | English |
---|---|

Pages (from-to) | 5170-5173 |

Number of pages | 4 |

Journal | Physical Review Letters |

Volume | 74 |

Issue number | 26 |

DOIs | |

Publication status | Published - 1995 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physical Review Letters*,

*74*(26), 5170-5173. https://doi.org/10.1103/PhysRevLett.74.5170

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

Research output: Contribution to journal › Article

*Physical Review Letters*, vol. 74, no. 26, pp. 5170-5173. https://doi.org/10.1103/PhysRevLett.74.5170

}

TY - JOUR

T1 - Critical behavior in gravitational collapse of radiation fluid

T2 - A renormalization group (linear perturbation) analysis

AU - Koike, Tatsuhiko

AU - Hara, Takashi

AU - Adachi, Satoshi

PY - 1995

Y1 - 1995

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0000360396&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000360396&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.74.5170

DO - 10.1103/PhysRevLett.74.5170

M3 - Article

AN - SCOPUS:0000360396

VL - 74

SP - 5170

EP - 5173

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 26

ER -