Rotating black holes in higher dimensions with a cosmological constant -: art. no. 171102

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 SD-2 bundles over S-2, infinitely many for each odd Dgreater than or equal to5. Applications to string theory and M-theory are indicated.