Asymptotically anti-de Sitter space-times: symmetries and conservation laws revisited
Glenn Barnich, Friedemann Brandt, and Kim Claes
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Submission date: 25. Jun. 2003
published in: Nuclear physics / B, 127 (2004), p. 114-117
DOI number (of the published article): 10.1016/S0920-5632(03)02410-1
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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.