Critical Behavior in Gravitational Collapse of Radiation Fluid: A Renormalization Group (Linear Perturbation) Analysis
書誌事項
- 公開日
- 1995-06-26
- 権利情報
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- http://link.aps.org/licenses/aps-default-license
- DOI
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- 10.1103/physrevlett.74.5170
- 10.48550/arxiv.gr-qc/9503007
- 公開者
- American Physical Society (APS)
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説明
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 $��$ and the largest Lyapunov exponent ${\rm Re\, } ��$ of the perturbation is related by $��= ({\rm Re\, } ��) ^{-1}$. We find the relevant perturbation mode numerically, and obtain a fairly accurate value of the critical exponent $��\simeq 0.3558019$, also in agreement with that obtained in numerical simulation.
4 pages in ReVTeX, 2 uuencoded eps figures, uses BoxedEPSF.tex
収録刊行物
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- Physical Review Letters
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Physical Review Letters 74 (26), 5170-5173, 1995-06-26
American Physical Society (APS)
