Uniqueness and Nonuniqueness of Static Black Holes in Higher Dimensions

Gary W. Gibbons; Daisuke Ida; Tetsuya Shiromizu

doi:10.1103/PhysRevLett.89.041101

Uniqueness and Nonuniqueness of Static Black Holes in Higher Dimensions

Gary W. Gibbons, Daisuke Ida, and Tetsuya Shiromizu

Phys. Rev. Lett. 89, 041101 – Published 9 July 2002

Abstract

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.

Received 5 March 2002

DOI:https://doi.org/10.1103/PhysRevLett.89.041101

Authors & Affiliations

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