Gravitational Collapse of Circularly Symmetric Stiff Fluid with Self-Similarity in 2+1 Gravity

Abstract

Linear perturbations of homothetic self-similar stiff fluid solutions, $S[n]$, with circular symmetry in 2+1 gravity are studied. It is found that, except for those with $n=1$ and $n=3$, none of them is stable and all have more than one unstable mode. Hence, {\em none of these solutions can be critical}.

latex file, 1 figure; last version to appear in Prog. Theor. Phys