Gibbons G W, Lü H, Page Don N, Pope C N
DAMTP, Centre for Mathematical Sciences, Cambridge University,Wilberforce Road, Cambridge CB3 OWA, United Kingdom.
Phys Rev Lett. 2004 Oct 22;93(17):171102. doi: 10.1103/PhysRevLett.93.171102.
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 S(D-2) bundles over S2, infinitely many for each odd D>/=5. Applications to string theory and M-theory are indicated.
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