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

Alan R. Steif
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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.

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Alan R. Steif. 1996-02-02. Time-Symmetric Initial Data for Multi-Body Solutions in Three Dimensions. https://doi.org/10.1103/physrevd.53.5527

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