title: Uniqueness and nonuniqueness of static black holes in higher dimensions.
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.
authors.affiliation: DAMTP, Centre for Mathematical Sciences, The University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom.
authors.forename: Gary W
authors.initials: GW
authors.lastname: Gibbons
authors.forename: Daisuke
authors.initials: D
authors.lastname: Ida
authors.forename: Tetsuya
authors.initials: T
authors.lastname: Shiromizu