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

@inproceedings{Barnich2004GeneralizedSR,
  title={Generalized Smarr relation for Kerr AdS black holes from improved surface integrals},
  author={Glenn Barnich and Geoffrey Comp̀ere},
  year={2004}
}
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… CONTINUE READING
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