Static circularly symmetric perfect fluid solutions with an exterior BTZ metric

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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10 pages, 1 figure, revtex 4. This paper is in honor of Alberto Garcia's sixtieth birthday. Accepted by Gen. Rel. Grav

Scientific paper

10.1007/s10714-005-0054-7

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 $p=p(\rho)$, which is regular at the origin.

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