Abstract
We present the metric for a rotating black hole with a cosmological constant and with arbitrary angular momenta in all higher dimensions. The metric is given in both Kerr-Schild and the Boyer-Lindquist form. In the Euclidean-signature case, we also obtain smooth compact Einstein spaces on associated bundles over , infinitely many for each odd . Applications to string theory and M-theory are indicated.
- Received 21 May 2004
DOI:https://doi.org/10.1103/PhysRevLett.93.171102
©2004 American Physical Society