Radiation Spectrum and Correction to the Entropy of the Kerr-(anti) de Sitter Black Hole in all Dimensions

We extend the Damour-Ruffini method and discuss the Hawking radiation spectrum of Kerr-(anti) de Sitter black holes in all dimensions, using the tortoise coordinate transformation defined by taking the reaction of the radiation to the spacetime into account. Under the condition that the energy and angular momentum are conserved, taking the self-gravitation action into account, we not only derive the Hawking radiation spectra which satisfies the unitarity principle in quantum mechanics but also obtain the correction to the Bekenstein-Hawking entropy We provide a theoretical basis to further explore the physical mechanism of black hole radiation.