A Slowly Rotating Charged Black Hole in Five Dimensions

TL;DR

This paper introduces a new five-dimensional Einstein-Maxwell solution describing a slowly rotating, charged black hole, filling a gap in higher-dimensional black hole solutions where the Kerr-Newman generalization is still unknown.

Contribution

It presents the first known solution for a slowly rotating, charged black hole in five dimensions within Einstein-Maxwell theory.

Findings

First five-dimensional charged black hole solution with slow rotation.

Extends understanding of higher-dimensional black hole configurations.

Provides a basis for further exploration of rotating charged black holes.

Abstract

Black hole solutions in higher dimensional Einstein and Einstein-Maxwell gravity have been discussed by Tangherlini as well as Myers and Perry a long time ago. These solutions are the generalizations of the familiar Schwarzschild, Reissner-Nordstrom and Kerr solutions of four-dimensional general relativity. However, higher dimensional generalization of the Kerr-Newman solution in four dimensions has not been found yet. As a first step in this direction I shall report on a new solution of the Einstein-Maxwell system of equations that describes an electrically charged and slowly rotating black hole in five dimensions.