Asymptotically anti-de Sitter space-times: symmetries and conservation laws revisited

Details Asymptotically anti-de Sitter space-times: symmetries and conservation laws revisited Asymptotically anti-de Sitter space-times: symmetries and conservation laws revisited

2003-06-25

arxiv.org/abs/gr-qc/0306112v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages Latex file, Proceedings for the conference "Renormalization Group and Anomalies in Gravity and Cosmology", Ouro Preto,

Scientific paper

10.1016/S0920-5632(03)02410-1

In this short note, we verify explicitly in static coordinates that the non trivial asymptotic Killing vectors at spatial infinity for anti-de Sitter space-times correspond one to one to the conformal Killing vectors of the conformally flat metric induced on the boundary. The fall-off conditions for the metric perturbations that guarantee finiteness of the associated conserved charges are derived.

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