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Static circularly symmetric perfect fluid solutions with an exterior BTZ metric

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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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Authors and Affiliations

  1. Departamento de Física, Facultad de ciencia, Universidad de Santiago de Chile, Casilla 307, Santiago, 2, Chile

    Norman Cruz, Marco Olivares & José R. Villanueva

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  1. Norman Cruz
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  2. Marco Olivares
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  3. José R. Villanueva
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Correspondence to Norman Cruz.

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Cruz, N., Olivares, M. & Villanueva, J.R. Static circularly symmetric perfect fluid solutions with an exterior BTZ metric. Gen Relativ Gravit 37, 667–674 (2005). https://doi.org/10.1007/s10714-005-0054-7

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  • DOI: https://doi.org/10.1007/s10714-005-0054-7

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