(1) Departamento de Física, Facultad de ciencia, Universidad de Santiago de Chile, Casilla 307, Santiago, 2, Chile
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(), which is regular at the origin.