2004/05/31 by Z. -W. Chong, G. W. Gibbons, H. Lu +1 · 1 citation
Mathematics · Physics and Astronomy · #hep-th #math.DG
paper · pdf · doi:10.1016/j.physletb.2004.07.066
published as Phys.Lett.B609:124-132,2005 · Author added, title changed, references added, focus of paper changed to Killing tensors and separability. Latex, 13 pages
arxiv created 2004/06/11 · arxiv updated 2009/12/01
A generalisation of the four-dimensional Kerr-de Sitter metrics to include a NUT charge is well known, and is included within a class of metrics obtained by Plebanski. In this paper, we study a related class of Kerr-Taub-NUT-de Sitter metrics in arbitrary dimensions D ≥ 6, which contain three non-trivial continuous parameters, namely the mass, the NUT charge, and a (single) angular momentum. We demonstrate the separability of the Hamilton-Jacobi and wave equations, we construct a closely-related rank-2 Staeckel-Killing tensor, and we show how the metrics can be written in a double Kerr-Schild form. Our results encompass the case of the Kerr-de Sitter metrics in arbitrary dimension, with all but one rotation parameter vanishing. Finally, we consider the real Euclidean-signature continuations of the metrics, and show how in a limit they give rise to certain recently-obtained complete non-singular compact Einstein manifolds.