### 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 |
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Pages (from-to) | 5170-5173 |

Number of pages | 4 |

Journal | Physical review letters |

Volume | 74 |

Issue number | 26 |

DOIs | |

Publication status | Published - 1995 Jan 1 |

Externally published | Yes |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

Koike, T., Hara, T., & Adachi, S. (1995). Critical behavior in gravitational collapse of radiation fluid: A renormalization group (linear perturbation) analysis.

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