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

Glenn Barnich·Friedemann Brandt·Kim Claes
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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.

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Glenn Barnich, Friedemann Brandt, Kim Claes. 2003-06-25. Asymptotically anti-de Sitter space-times: symmetries and conservation laws revisited. https://doi.org/10.1016/s0920-5632(03)02410-1

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