arXiv:hep-th/0601002 v1 2 Jan 2006 MIFP-06-01 hep-th/0601002 January 2006 Kerr-de Sitter Black Holes with NUT Charges W. Chen, H. L¨ u and C.N. Pope † George P. & Cynthia W. Mitchell Institute for Fundamental Physics, Texas A&M University, College Station, TX 77843-4242, USA ABSTRACT The four-dimensional Kerr-de Sitter and Kerr-AdS black hole metrics have cohomogene- ity 2, and they admit a generalisation in which an additional parameter characterising a NUT charge is included. In this paper, we study the higher-dimensional Kerr-AdS metrics, specialised to cohomogeneity 2 by appropriate restrictions on their rotation parameters, and we show how they too admit a generalisation in which an additional NUT-type parameter is introduced. We discuss also the supersymmetric limits of the new metrics. If one per- forms a Wick rotation to Euclidean spacetime signature, these yield new Einstein-Sasaki metrics in odd dimensions, and Ricci-flat metrics in even dimensions. We also study the five-dimensional Kerr-AdS black holes in detail. Although in this particular case the NUT parameter is trivial, our investigation reveals the remarkable feature that a five-dimensional Kerr-AdS “over-rotating” metric is equivalent, after performing a coordinate transforma- tion, to an under-rotating Kerr-AdS metric. Research supported in part by DOE grant DE-FG03-95ER40917.