Static circularly symmetric perfect fluid solutions with an exterior BTZ metric

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

arXiv comment10 pages, 1 figure, revtex 4. This paper is in honor of Alberto Garcia's sixtieth birthday. Accepted by Gen. Rel. Grav

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• The Sagnac effect on a scale-dependent rotating BTZ black hole background
• A new model of regular black hole in $(2+1)$ dimensions
• Compact star in pseudo-spheroidal spacetime
• Exact solutions in (2 + 1)-dimensional anti-de Sitter space-time admitting a linear or non-linear equation of state
• Singularity free stars in (2+1) dimensions
• New black hole solutions in three-dimensional $f(R)$ gravity
• Adiabatic analysis of the rotating BTZ black hole
• Gravitational collapse of a circularly symmetric star