Global geometry of the 2+1 rotating black hole
arXiv:hep-th/0306293 · doi:10.1016/j.physletb.2003.07.055
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 SL(2,R) 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.
9 pages, 1 figure