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arXiv · hep-th/0409155

Rotating Black Holes in Higher Dimensions with a Cosmological Constant

G. W. Gibbons·H. Lu·D. N. Page·C. N. Pope
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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.

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G. W. Gibbons, H. Lu, D. N. Page, C. N. Pope. 2004-09-15. Rotating Black Holes in Higher Dimensions with a Cosmological Constant. https://doi.org/10.1103/physrevlett.93.171102

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