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Phys. Rev. Lett. 89, 041101 (2002) [4 pages]

Uniqueness and Nonuniqueness of Static Black Holes in Higher Dimensions

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Gary W. Gibbons1, Daisuke Ida2, and Tetsuya Shiromizu2
1DAMTP, Centre for Mathematical Sciences, The University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
2Research Center for the Early Universe (RESCEU), The University of Tokyo, Tokyo 113-0033, Japan

Received 5 March 2002; published 9 July 2002

We prove a uniqueness theorem for asymptotically flat static charged dilaton black-hole solutions in higher-dimensional space-times. We also construct infinitely many nonasymptotically flat regular static black holes on the same space-time manifold with the same spherical topology. An application to the uniqueness of a class of flat p-branes is also given.


©2002 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.89.041101
DOI: 10.1103/PhysRevLett.89.041101
PACS: 04.50.+h, 04.70.Bw

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