paper

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

arXiv:gr-qc/0306112 · doi:10.1016/S0920-5632(03)02410-1

Abstract

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.

arXiv comment6 pages Latex file, Proceedings for the conference "Renormalization Group and Anomalies in Gravity and Cosmology", Ouro Preto, Brazil, 17 - 23 March, 2003

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