Uniqueness and non-uniqueness of static black holes in higher dimensions

TL;DR

This paper proves a uniqueness theorem for static charged dilaton black holes in higher dimensions and constructs infinitely many non-asymptotically flat static black holes with the same topology, expanding understanding of black hole solutions.

Contribution

It establishes a uniqueness theorem for certain higher-dimensional black holes and introduces infinitely many non-asymptotically flat solutions with identical topology.

Findings

Proved a uniqueness theorem for asymptotically flat static charged dilaton black holes.

Constructed infinitely many non-asymptotically flat static black hole solutions.

Applied results to the uniqueness of certain flat p-branes.

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 non-asymptotically flat regular static black holes on the same space-time manifold with the same spherical topology. An application to the uniqueness of a certain class of flat $p$-branes is also given.