Uniqueness of the asymptotic AdS3 geometry

M. Rooman; Ph. Spindel

Uniqueness of the asymptotic AdS3 geometry

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arxiv gr-qc/0011005 v4 pith:2Z45VVFK submitted 2000-11-02 gr-qc hep-th

M. Rooman , Ph. Spindel This is my paper · ORCID

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keywords geometryinfinityspatialtimelikeads3asymptoticbulkconstant

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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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