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Gauge Formulation of the Spinning Black Hole in (2+1)-Dimensional Anti-de Sitter Space

Daniel Cangemi·Martin Leblanc·Robert B. Mann
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Abstract

We compute the group element of SO(2,2) associated with the spinning black hole found by Bañados, Teitelboim and Zanelli in (2+1)-dimensional anti-de Sitter space-time. We show that their metric is built with SO(2,2) gauge invariant quantities and satisfies Einstein's equations with negative cosmological constant everywhere except at $r=0$. Moreover, although the metric is singular on the horizons, the group element is continuous and possesses a kink there.

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Daniel Cangemi, Martin Leblanc, Robert B. Mann. 1992-11-09. Gauge Formulation of the Spinning Black Hole in (2+1)-Dimensional Anti-de Sitter Space. https://doi.org/10.1103/physrevd.48.3606

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