Static circularly symmetric perfect fluid solutions with an exterior BTZ metric
arXiv:gr-qc/0406105 · doi:10.1007/s10714-005-0054-7
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.
10 pages, 1 figure, revtex 4. This paper is in honor of Alberto Garcia's sixtieth birthday. Accepted by Gen. Rel. Grav