Static circularly symmetric perfect fluid solutions with an exterior BTZ metric
Norman Cruz, Marco Olivares, Jose Villanueva
TL;DR
This paper derives exact solutions for static perfect fluid stars in 2+1 dimensions with a BTZ exterior, providing conditions for regularity and a specific equation of state.
Contribution
It presents the first general expression for metric coefficients in such systems and an exact, regular solution with a defined equation of state.
Findings
Derived general metric expressions based on density and pressure.
Established regularity conditions at the origin.
Obtained an exact, regular solution with a specific equation of state.
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.
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