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We calculate the total flux of Hawking radiation from Kerr-(anti)de Sitter black holes by using gravitational anomaly method developed in [S. P. Robinson and F. Wilczek, Phys. Rev. Lett. 95, 011303 (2005)]. We consider the general Kerr-(anti)de Sitter black holes in arbitrary D dimensions with the maximal number $[D/2]$ of independent rotating parameters. We find that the physics near the horizon can be described by an infinite collection of ($1+1$)-dimensional quantum fields coupled to a set of gauge fields with charges proportional to the azimuthal angular momentums mᵢ. With the requirement of anomaly cancellation and regularity at the horizon, the Hawking radiation is determined.
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Xu et al. (2007) studied this question.
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