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APS » Journals » Phys. Rev. Lett. » Volume 93 » Issue 17
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Phys. Rev. Lett. 93, 171102 (2004) [4 pages]

Rotating Black Holes in Higher Dimensions with a Cosmological Constant

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G. W. Gibbons1, H. Lü2,*, Don N. Page2,3,†, and C. N. Pope2,*
1DAMTP, Centre for Mathematical Sciences, Cambridge University,Wilberforce Road, Cambridge CB3 OWA, United Kingdom
2George P. & Cynthia W. Mitchell Institute for Fundamental Physics, Texas A & M University, College Station, TX 77843-4242, USA
3Theoretical Physics Institute, 412 Physics Lab., University of Alberta, Edmonton, Alberta T6G 2J1, Canada

Received 21 May 2004; published 22 October 2004

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 S2, infinitely many for each odd D≥5. Applications to string theory and M-theory are indicated.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.93.171102
DOI:
10.1103/PhysRevLett.93.171102
PACS:
04.20.Jb, 04.50.+h

*Research supported in part by DOE Grant No. DE-FG03-95ER40917.

†Research supported in part by the Natural Science and Engineering Research Council of Canada.

‡Permanent address for D. N. P.

 
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