Gravitational Collapse of Self-Similar Perfect Fluid in 2+1 Gravity

Details Gravitational Collapse of Self-Similar Perfect Fluid in 2+1 Gravity Gravitational Collapse of Self-Similar Perfect Fluid in 2+1 Gravity

2003-04-08

arxiv.org/abs/gr-qc/0304035v1

Gen.Rel.Grav. 36 (2004) 1883-1918

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex file, including six figures

Scientific paper

10.1023/B:GERG.0000035957.58025.

Perfect fluid with kinematic self-similarity is studied in 2+1 dimensional spacetimes with circular symmetry, and various exact solutions to the Einstein field equations are given. In particular, these include all the solutions of dust and stiff perfect fluid with self-similarity of the first kind, and all the solutions of perfect fluid with a linear equation of state and self-similarity of the zeroth or second kind. It is found that some of these solutions represent gravitational collapse, and the final state of the collapse can be either black holes or naked singularities.

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