Time-Symmetric Initial Data for Multi-Body Solutions in Three Dimensions

Abstract

Time-symmetric initial data for two-body solutions in three dimensional anti-deSitter gravity are found. The spatial geometry has constant negative curvature and is constructed as a quotient of two-dimensional hyperbolic space. Apparent horizons correspond to closed geodesics. In an open universe, it is shown that two black holes cannot exist separately, but are necessarily enclosed by a third horizon. In a closed universe, two separate black holes can exist provided there is an additional image mass.

12 pages, harvmac macro, minor changes in wording

References in corpus (1)

• The (2+1)-Dimensional Black Hole

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