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Black hole solutions in 2+1 dimensions

Viqar Husain
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Abstract

We give circularly symmetric solutions for null fluid collapse in 2+1-dimensional Einstein gravity with a cosmological constant. The fluid pressure $P$ and energy density $ρ$ are related by $P=kρ$ $(k\le 1)$. The long time limit of the solutions are black holes whose horizon structures depend on the value of $k$. The $k=1$ solution is the Banados-Teitelboim-Zanelli black hole metric in the long time static limit, while the $k<1$ solutions give other, `hairy' black hole metrics in this limit.

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Viqar Husain. 1995-11-22. Black hole solutions in 2+1 dimensions. https://doi.org/10.1103/physrevd.52.6860

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