Charged black holes on Kaluza-Klein bubbles

TL;DR

This paper constructs exact five-dimensional Einstein-Maxwell-Dilaton solutions describing charged black holes on Kaluza-Klein bubbles, analyzing their configurations, charges, and thermodynamics, including novel solutions like charged black Saturns.

Contribution

It introduces new exact solutions for charged black holes on Kaluza-Klein bubbles and extends solution techniques to include black Saturn configurations on complex instantons.

Findings

Explicit solutions for charged black holes on Kaluza-Klein bubbles.

Analysis of conserved charges and thermodynamic properties.

Extension to charged black Saturn on Taub-bolt instanton.

Abstract

We construct exact solutions of the Einstein-Maxwell-Dilaton field equations in five dimensions, which describe general configurations of charged and static black holes sitting on a Kaluza-Klein bubble. More specifically we discuss the configurations describing two black holes sitting on a Kaluza-Klein bubble and also the general charged static black Saturn balanced by a Kaluza-Klein bubble. A straightforward extension of the solution generating technique leads to a new solution describing the charged static black Saturn on the Taub-bolt instanton. We compute the conserved charges and investigate some of the thermodynamic properties of these systems.