Abstract
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 \ensuremath{\gamma}. 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 $1l\ensuremath{\gamma}\ensuremath{\lesssim}1.889.$ We also analyze the stability of other self-similar solutions and also discuss the universality class.
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