D. Cangemi et al., GAUGE FORMULATION OF THE SPINNING BLACK-HOLE IN (2-DIMENSIONAL ANTI-DE SITTER SPACE(1)), Physical review. D. Particles and fields, 48(8), 1993, pp. 3606-3610
We compute the group element of SO(2,2) associated with the spinning b
lack hole found by Banados, Teitelboim, and Zanelli in (2 + 1)-dimensi
onal anti-de Sitter space-time. We show that their metric is built wit
h SO(2,2) gauge invariant quantities and satisfies Einstein's equation
s with a negative cosmological constant. Moreover, although the metric
is singular on the horizons, the group element is continuous and poss
esses a kink there. We also consider the extremal configurations and t
he Poincare limit as special cases.