Explicit solutions for Point Particles and Black Holes in spaces of constant curvature in 2+1-D Gravity

M. Welling

Explicit solutions for Point Particles and Black Holes in spaces of constant curvature in 2+1-D Gravity

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arxiv hep-th/9706021 v1 pith:NDBKS7D6 submitted 1997-06-03 hep-th

M. Welling This is my paper

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keywords constantcasecosmologicalblack-holeclosednegativeparticlespositive

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In this paper we consider space-times containing matter expanding or contracting according to a time-dependent scale factor. Cosmologies with vanishing, positive or negative cosmological constant are considered. In the case of vanishing or negative cosmological constant open and closed spatial surfaces are solutions while in the case of positive cosmological constant only closed surfaces exist. The gravitational field is solved explicitly in the case of 1 or 2 particles, 1 black-hole, and 1 black-hole vacuum state.

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Mixed Solutions to the Liouville Equation
hep-th 2025-06 conditional novelty 6.0 of 10

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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