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Critical behaviour in gravitational collapse of radiation fluid --- A renormalization group (linear perturbation) analysis ---

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arxiv gr-qc/9503007 v1 pith:2OXM6ZUD submitted 1995-03-06 gr-qc

Tatsuhiko Koike , Takashi Hara , Satoshi Adachi This is my paper · ORCID
classification gr-qc
keywords perturbationbetacriticalexponentcollapsefluidgravitationalgroup
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abstract

A scenario is presented, based on renormalization group (linear perturbation) ideas, which can explain the self-similarity and scaling observed in a numerical study of gravitational collapse of radiation fluid. In particular, it is shown that the critical exponent $\beta$ and the largest Lyapunov exponent ${\rm Re\, } \kappa$ of the perturbation is related by $\beta= ({\rm Re\, } \kappa) ^{-1}$. We find the relevant perturbation mode numerically, and obtain a fairly accurate value of the critical exponent $\beta \simeq 0.3558019$, also in agreement with that obtained in numerical simulation.

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Cited by 6 Pith papers

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