Birkhoff's Theorem for Three-Dimensional AdS Gravity

Details Birkhoff's Theorem for Three-Dimensional AdS Gravity Birkhoff's Theorem for Three-Dimensional AdS Gravity

2004-03-23

arxiv.org/abs/hep-th/0403227v2

Phys.Rev. D70 (2004) 044027

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, RevTeX4; minor typos corrected, Ref. added, accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.70.044027

All three-dimensional matter-free spacetimes with negative cosmological
constant, compatible with cyclic symmetry are identified. The only cyclic
solutions are the 2+1 (BTZ) black hole with SO(2) x R isometry, and the
self-dual Coussaert-Henneaux spacetimes, with isometry groups SO(2) x SO(2,1)
or SO(2) x SO(2).

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