Gravitational Collapse of Self-Similar Perfect Fluid in 2+1 Gravity
General Relativity and Quantum Cosmology
2009-11-10 v1
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/0304035,
title = {Gravitational Collapse of Self-Similar Perfect Fluid in 2+1 Gravity},
author = {A. Y. Miguelote and N. A. Tomimura and Anzhong Wang},
journal= {arXiv preprint arXiv:gr-qc/0304035},
year = {2009}
}
Comments
Latex file, including six figures