Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-05-07
Phys.Lett.B609:124-132,2005
Physics
High Energy Physics
High Energy Physics - Theory
Author added, title changed, references added, focus of paper changed to Killing tensors and separability. Latex, 13 pages
Scientific paper
10.1016/j.physletb.2004.07.066
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 \ge 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.
Chong Z.-W.
Gibbons Gary W.
Lu Hai
Pope Christopher N.
No associations
LandOfFree
Separability and Killing Tensors in Kerr-Taub-NUT-de Sitter Metrics in Higher Dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Separability and Killing Tensors in Kerr-Taub-NUT-de Sitter Metrics in Higher Dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Separability and Killing Tensors in Kerr-Taub-NUT-de Sitter Metrics in Higher Dimensions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-111809