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 S^{D-2} bundles over S^2, infinitely many for each odd D\ge 5. Applications to string theory and M-theory are indicated.

8 pages, Latex. Short version, with more compact notation, of hep-th/0404008. To appear in Phys. Rev. Lett

References in corpus (2)

• The First Law of Thermodynamics for Kerr-Anti-de Sitter Black Holes
• Sasaki-Einstein Twist of Kerr-AdS Black Holes

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