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29 March 2024
 
  » arxiv » gr-qc/9402041

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Observation of critical phenomena and self-similarity in the gravitational collapse of radiation fluid
Charles R. Evans ; Jason S. Coleman ;
Date 23 Feb 1994
Journal Phys.Rev.Lett. 72 (1994) 1782-1785
Subject gr-qc
AbstractWe observe critical phenomena in spherical collapse of radiation fluid. A sequence of spacetimes $cal{S}[eta]$ is numerically computed, containing models ($etall 1$) that adiabatically disperse and models ($etagg 1$) that form a black hole. Near the critical point ($eta_c$), evolutions develop a self-similar region within which collapse is balanced by a strong, inward-moving rarefaction wave that holds $m(r)/r$ constant as a function of a self-similar coordinate $xi$. The self-similar solution is known and we show near-critical evolutions asymptotically approaching it. A critical exponent $eta simeq 0.36$ is found for supercritical ($eta>eta_c$) models.
Source arXiv, gr-qc/9402041
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