Rotating Black Holes in Higher Dimensions with a Cosmological Constant

G. W. Gibbons, H. Lü, Don N. Page, and C. N. Pope

Phys. Rev. Lett. 93, 171102 – Published 22 October 2004

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 the 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 $D \geq 5$ . Applications to string theory and M-theory are indicated.

Received 21 May 2004

DOI:https://doi.org/10.1103/PhysRevLett.93.171102

Authors & Affiliations

G. W. Gibbons¹, H. Lü^2,*, Don N. Page^2,3,†, and C. N. Pope^2,*

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‡

^*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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Vol. 93, Iss. 17 — 22 October 2004

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