Black Holes and Wormholes in 2+1 Dimensions
Dieter Brill
TL;DR
This paper explores the variety of globally distinct solutions in 2+1 dimensional vacuum Einstein theory with negative cosmological constant, focusing on black holes, wormholes, and their topologies in anti-de Sitter spaces.
Contribution
It provides an elementary, visualizable approach to understanding black holes, wormholes, and topological structures in 2+1 dimensional anti-de Sitter spacetimes.
Findings
Existence of black holes and multi-black hole solutions
Analysis of horizon structures and topologies
Construction of closed universe models
Abstract
Vacuum Einstein theory in three spacetime dimensions is locally trivial, but admits many solutions that are globally different, particularly if there is a negative cosmological constant. The classical theory of such locally "anti-de Sitter" spaces is treated in an elementary way, using visualizable models. Among the objects discussed are black holes, spaces with multiple black holes, their horizon structure, closed universes, and the topologies that are possible.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Homotopy and Cohomology in Algebraic Topology