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

Nathalie Deruelle et al 2005 Class. Quantum Grav. 22 421-424   doi: 10.1088/0264-9381/22/2/013  Help

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Nathalie Deruelle1,2 and Joseph Katz3,4
1 Institut d'Astrophysique de Paris, GReCO, FRE 2435 du CNRS, 98 bis boulevard Arago, 75014 Paris, France
2 Institut des Hautes Etudes Scientifiques, 35 Route de Chartres, 91440 Bures-sur-Yvette, France
3 Institute of Astronomy, Madingley Road, Cambridge CB3 0HA, UK
4 The Racah Institute of Physics, Safra Campus, 91904 Jerusalem, Israel
E-mail: deruelle@ihes.fr and jkatz@phys.huji.ac.il

Abstract. 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 numbers: 04.70.−s, 04.50.-h

Print publication: Issue 2 (21 January 2005)
Received 28 October 2004
Published 3 January 2005

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