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Prog. Theor. Phys. Supplement No.148 (2002) pp. 284-290

Uniqueness and Non-Uniqueness of Static Vacuum Black Holes in Higher Dimensions

Gary W. Gibbons,¹ Daisuke Ida² and Tetsuya Shiromizu^2,3

¹DAMTP, Centre for Mathematical Sciences, The University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
²Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan
³Advanced Research Institute for Science and Engineering, Waseda University, Tokyo 169-8555, Japan

(Received August 8, 2002)

Abstract:

We prove the uniqueness theorem for asymptotically flat static vacuum black hole solutions in higher-dimensional space-times. We also construct infinitely many non-asymptotically flat regular static black holes on the same space-time manifold with the same spherical topology.

URL : http://ptp.ipap.jp/link?PTPS/148/284/
DOI : 10.1143/PTPS.148.284

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 112 No. 2 (2004) pp. 249-274 :

   Perturbative Uniqueness of Black Holes near the Static Limit in All Dimensions

   Hideo Kodama

2. Progress of Theoretical Physics Vol. 119 No. 5 (2008) pp. 757-774 :

   Orthogonal Black Di-Ring Solution

   Keisuke Izumi

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