Charged rotating dilaton black holes with Kaluza-Klein asymptotics

TL;DR

This paper constructs and analyzes charged rotating black hole solutions in five-dimensional Einstein-Maxwell-dilaton gravity with Kaluza-Klein asymptotics, revealing their physical properties and relations to seed solutions.

Contribution

It introduces a method to generate charged rotating black hole solutions with Kaluza-Klein asymptotics from vacuum seeds, including explicit solutions and their physical properties.

Findings

Derived gyromagnetic ratio for the solutions.

Established Smarr-like relations for the black objects.

Presented explicit examples: black string, black ring, and multi-black hole configurations.

Abstract

We construct a class of stationary and axisymmetric solutions to the 5D Einstein-Maxwell-dilaton gravity, which describe configurations of charged rotating black objects with Kaluza-Klein asymptotics. The solutions are constructed by uplifting a vacuum seed solution to six dimensions, performing a boost, and a subsequent circle reduction. We investigate the physical properties of the charged solutions, and obtain their general relations to the properties of the vacuum seed. We also derive the gyromagnetic ratio and the Smarr-like relations. As particular cases we study three solutions, which describe a charged rotating black string, a charged rotating black ring on Kaluza-Klein bubbles, and a superposition of two black holes and a Kaluza-Klein bubble.