Compact Three Dimensional Black Hole: Topology Change and Closed Timelike Curve (minor changes)

Details Compact Three Dimensional Black Hole: Topology Change and Closed Timelike Curve (minor changes) Compact Three Dimensional Black Hole: Topology Change and Closed Timelike Curve (minor changes)

1993-12-04

arxiv.org/abs/gr-qc/9312011v2

Class.Quant.Grav.11:1995-2006,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages revtex.sty 8 figures contained, TIT/HEP-245/COSMO-40

Scientific paper

10.1088/0264-9381/11/8/007

We present a compactified version of the 3-dimensional black hole recently found by considering extra identifications and determine the analytical continuation of the solution beyond its coordinate singularity by extending the identifications to the extended region of the spacetime. In the extended region of the spacetime, we find a topology change and non-trivial closed timelike curves both in the ordinary 3-dimensional black hole and in the compactified one. Especially, in the case of the compactified 3-dimensional black hole, we show an example of topology change from one double torus to eight spheres with three punctures.

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