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

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

2005-05-12

arxiv.org/abs/gr-qc/0505062v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1143/PTP.114.895

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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