Phys. Rev. D 59, 104008 (1999) [9 pages]Critical behavior in gravitational collapse of a perfect fluidReceived 28 May 1998; published 1 April 1999 To confirm the scenario of critical behavior in gravitational collapse in a previous paper we carry out a rather complete analysis for perfect fluids with pressure proportional to density, in a wide range of the adiabatic index γ. In particular, the uniqueness of the relevant mode around a fixed point is established by a Lyapunov analysis. This shows that critical phenomena occur not only for the radiation fluid but also for perfect fluids with 1<γ≲1.889. We also analyze the stability of other self-similar solutions and also discuss the universality class. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.59.104008
DOI:
10.1103/PhysRevD.59.104008
PACS:
04.40.-b, 04.70.Bw, 64.60.Ak
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