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Asymptotically anti-de Sitter space-times: symmetries and conservation laws revisited
Glenn Barnich, Friedemann Brandt and Kim Claes
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.