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

A. Y. Miguelote·N. A. Tomimura·Anzhong Wang
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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}.

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A. Y. Miguelote, N. A. Tomimura, Anzhong Wang. 2005-10-26. Gravitational Collapse of Circularly Symmetric Stiff Fluid with Self-Similarity in 2+1 Gravity. https://doi.org/10.1143/ptp.114.895

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