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Generalized Smarr relation for Kerr AdS black holes from improved surface integrals

par Barnich, Glenn ;Compère, Geoffrey
Référence Physical review. D, Particles and fields, 71, 4, page (044016), gr-qc/0412029
Publication Publié, 2005-02-11

Article révisé par les pairs

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Résumé :

By using suitably improved surface integrals, we give a unified geometric derivation of the generalized Smarr relation for higher dimensional Kerr black holes which is valid both in flat and in anti-de Sitter backgrounds. The improvement of the surface integrals, which allows one to use them simultaneously at infinity and on the horizon, consists in integrating them along a path in solution space. Path independence of the improved charges is explicitly proved. It is also shown that the charges for higher dimensional Kerr-AdS black holes can be correctly computed from the standard Hamiltonian or Lagrangian surface integrals. © 2005 The American Physical Society.