title: Rotating black holes in higher dimensions with a cosmological constant.
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 S(D-2) bundles over S2, infinitely many for each odd D>/=5. Applications to string theory and M-theory are indicated.
authors.affiliation: DAMTP, Centre for Mathematical Sciences, Cambridge University,Wilberforce Road, Cambridge CB3 OWA, United Kingdom.
authors.forename: G W
authors.initials: GW
authors.lastname: Gibbons
authors.forename: H
authors.initials: H
authors.lastname: Lü
authors.forename: Don N
authors.initials: DN
authors.lastname: Page
authors.forename: C N
authors.initials: CN
authors.lastname: Pope