Black Holes and Wormholes in 2+1 Dimensions
Stefan Aminneborg (Norra Reals gymnasium, Stockholm), Ingemar, Bengtsson (Fysikum, Stockholm University), Dieter Brill (Department of, Physics, University of Maryland), Soren Holst, Peter Peldan (Fysikum,, Stockholm University)
TL;DR
This paper explores a class of 2+1 dimensional spacetimes derived from anti-de Sitter space, focusing on black holes and wormholes with specific symmetry and topology constraints, and analyzing their geometric properties.
Contribution
It classifies and describes non-eternal black holes with collapsing wormhole topologies in 2+1 dimensions under symmetry restrictions, using a geometric approach.
Findings
Classified allowed topologies of these spacetimes
Analyzed event horizon shapes and properties
Discussed topological censorship and trapped curves
Abstract
A large variety of spacetimes---including the BTZ black holes---can be obtained by identifying points in 2+1 dimensional anti-de Sitter space by means of a discrete group of isometries. We consider all such spacetimes that can be obtained under a restriction to time symmetric initial data and one asymptotic region only. The resulting spacetimes are non-eternal black holes with collapsing wormhole topologies. Our approach is geometrical, and we discuss in detail: The allowed topologies, the shape of the event horizons, topological censorship and trapped curves.
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