Static circularly symmetric perfect fluid solutions with an exterior BTZ metric
General Relativity and Quantum Cosmology
2009-11-10 v1
Abstract
In this work we study static perfect fluid stars in 2+1 dimensions with an exterior BTZ spacetime. We found the general expression for the metric coefficients as a function of the density and pressure of the fluid. We found the conditions to have regularity at the origin throughout the analysis of a set of linearly independent invariants. We also obtain an exact solution of the Einstein equations, with the corresponding equation of state , which is regular at the origin.
Cite
@article{arxiv.gr-qc/0406105,
title = {Static circularly symmetric perfect fluid solutions with an exterior BTZ metric},
author = {Norman Cruz and Marco Olivares and Jose Villanueva},
journal= {arXiv preprint arXiv:gr-qc/0406105},
year = {2009}
}
Comments
10 pages, 1 figure, revtex 4. This paper is in honor of Alberto Garcia's sixtieth birthday. Accepted by Gen. Rel. Grav