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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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10 pages

Scientific paper

10.1103/PhysRevD.48.3606

We compute the group element of SO(2,2) associated with the spinning black hole found by Ba\~nados, 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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