Abstract
Generalizations of the black hole geometry of Bañados, Teitelboim, and Zanelli (BTZ) are presented. The theory is three-dimensional vacuum Einstein theory with a negative cosmological constant. The -black-hole solution has asymptotically anti-de Sitter "exterior" regions that join in one "interior" region. The geometry of each exterior region is identical to that of a BTZ geometry; in particular, each contains a black hole horizon that surrounds (as judged from that exterior) all the other horizons. The interior region acts as a closed universe containing black holes. The initial state and its time development are discussed in some detail for the simple case when the angular momentum parameters of all the black holes vanish. A procedure to construct black holes with angular momentum (for ) is also given.
- Received 28 November 1995
DOI:https://doi.org/10.1103/PhysRevD.53.R4133
©1996 American Physical Society