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Multi-Black-Hole Geometries in (2+1)-Dimensional Gravity

Dieter R. Brill
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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 $n$-black-hole solution has $n$ 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 $n$ 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 $n$ black holes with angular momentum (for $n \geq 4$) is also given.

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Dieter R. Brill. 1995-11-06. Multi-Black-Hole Geometries in (2+1)-Dimensional Gravity. https://doi.org/10.1103/physrevd.53.4133

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