Phys. Rev. Lett. 89, 041101 (2002) [4 pages]Uniqueness and Nonuniqueness of Static Black Holes in Higher DimensionsReceived 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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