Static circularly symmetric perfect fluid solutions with an exterior BTZ metric
Norman Cruz, Marco Olivares, Jose Villanueva
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 p=p(ρ), which is regular at the origin.
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