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Global geometry of the 2+1 rotating black hole

Authors:	P Bieliavsky S Detournay M Herquet M Rooman Ph Spindel

Institution:	^a Service de Géométrie différentielle, Université Libre de Bruxelles, Campus Plaine, C.P. 218, Boulevard du Triomphe, B-1050, Bruxelles, Belgium ^b Mécanique et Gravitation, Université de Mons-Hainaut, 20 Place du Parc, 7000, Mons, Belgium ^c Service de Physique théorique, Université Libre de Bruxelles, Campus Plaine, C.P. 225, Boulevard du Triomphe, B-1050, Bruxelles, Belgium

Abstract:	The generic rotating BTZ black hole, obtained by identifications in AdS₃ space through a discrete subgroup of its isometry group, is investigated within a Lie theoretical context. This space is found to admit a foliation by two-dimensional leaves, orbits of a two-parameter subgroup of and invariant under the BTZ identification subgroup. A global expression for the metric is derived, allowing a better understanding of the causal structure of the black hole.

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