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 Boyer-Lindquist form. In the Euclidean-signature case, we also obtain smooth compact Einstein spaces on associated SD-2 bundles over S2, infinitely many for each odd D 5. Applications to string theory and M-theory are indicated.
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