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Time-Symmetric Initial Data for Multi-Body Solutions in Three Dimensions
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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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Mixed Solutions to the Liouville Equation
Explicit mixed-monodromy Liouville solutions are constructed and their large-hyperbolic limits are used to describe time-symmetric slices of 2+1 gravity with particles and black holes.
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