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On the mass of a Kerr–anti-de Sitter spacetime in D dimensions

Nathalie Deruelle1,2 and Joseph Katz3,4

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We show how to compute the mass of a Kerr–anti-de Sitter spacetime with respect to the anti-de Sitter background in any dimension, using a superpotential which has been derived from standard Noether identities. The calculation takes no account of the source of the curvature and confirms results obtained for black holes via the first law of thermodynamics.


PACS

04.70.-s Physics of black holes

04.50.-h Higher-dimensional gravity and other theories of gravity

MSC

83C57 Black holes

Subjects

Gravitation and cosmology

Dates

Issue 2 (21 January 2005)

Received 28 October 2004

Published 3 January 2005



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