We calculate the entropy of the fermion field in the NUT-Kerr-Newman black holes in the background of the de Sitter spacetime by using the improved brick-wall method and the membrane model.Here the Euler characteristic of the black holes is over two.The results show that,as the cut-off is properly chosen,the entropy in the black hole satisfies the Bekenstein-Hawking area law.
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机译：Quasinormal modes for a Kerr-de Sitter black hole in the eikonal limit and a generalization to Myers–Perry-de Sitter black holes with a single rotation
