Uniqueness of the asymptotic AdS3 geometry

Details Uniqueness of the asymptotic AdS3 geometry Uniqueness of the asymptotic AdS3 geometry

2000-11-02

arxiv.org/abs/gr-qc/0011005v4

Class.Quant.Grav. 18 (2001) 2117-2124

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 8 pages, no figures, version that will appear in Class. Quant. Grav

Scientific paper

10.1088/0264-9381/18/11/309

We explicitly show that in (2+1) dimensions the general solution of the Einstein equations with negative cosmological constant on a neigbourhood of timelike spatial infinity can be obtained from BTZ metrics by coordinate transformations corresponding geometrically to deformations of their spatial infinity surface. Thus, whatever the topology and geometry of the bulk, the metric on the timelike extremities is BTZ.

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