Charged Black Holes in a Rotating Gross-Perry-Sorkin Monopole Background

TL;DR

This paper introduces a new class of five-dimensional charged rotating black hole solutions in Einstein-Maxwell-Chern-Simons theory, characterized by a Kaluza-Klein structure and constructed via a squashing transformation.

Contribution

It presents novel stationary charged black hole solutions in a rotating monopole background, expanding the understanding of higher-dimensional black hole configurations.

Findings

Solutions exhibit Kaluza-Klein asymptotics with a circle at infinity.

Black hole rotation is induced by background rotation.

The solutions are constructed using a squashing transformation.

Abstract

We present a new class of stationary charged black hole solutions to five-dimensional Einstein-Maxwell-Chern-Simons theories. We construct the solutions by utilizing so called the squashing transformation. At infinity, our solutions behave as a four-dimensional flat spacetime plus a `circle' and hence describe a Kaluza-Klein black hole. More precisely, our solutions can be viewed as a charged rotating black hole in a rotating Gross-Perry-Sorkin monopole background with the black hole rotation induced from the background rotation.