Birkhoff’s theorem for three-dimensional AdS gravity

Authors:

20 August 2004

journal article
research article
Published by American Physical Society (APS) in Physical Review D

Vol. 70 (4) , 044027
DOI:10.1103/physrevd.70.044027

Abstract

All three-dimensional matter-free space-times with negative cosmological constant, compatible with cyclic symmetry, are identified. The only cyclic solutions are the

2 + 1

(BTZ) black hole with

SO (2) \times R

isometry, and the self-dual Coussaert-Henneaux space-times, with isometry groups

SO (2) \times SO (2, 1)

SO (2) \times SO (2) .

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