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arXiv · gr-qc/0406105

Static circularly symmetric perfect fluid solutions with an exterior BTZ metric

Norman Cruz·Marco Olivares·Jose Villanueva
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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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Norman Cruz, Marco Olivares, Jose Villanueva. 2004-06-25. Static circularly symmetric perfect fluid solutions with an exterior BTZ metric. https://doi.org/10.1007/s10714-005-0054-7

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