Charged Rotating Black Holes in Higher Dimensions

TL;DR

This paper investigates higher-dimensional charged rotating black holes using numerical and perturbative methods, revealing new properties such as a non-constant gyromagnetic factor, which differ from four-dimensional solutions.

Contribution

It provides the first detailed study of Einstein-Maxwell and Einstein-Maxwell-dilaton black holes in higher dimensions using numerical and perturbative approaches.

Findings

Black holes exhibit a non-constant gyromagnetic factor.

New features emerge in higher dimensions not seen in D=4.

Solutions are characterized using spacetime symmetries.

Abstract

In recent years higher-dimensional black holes have attracted much interest because of various developments in gravity and high energy physics. But whereas higher-dimensional charged static (Tangherlini) and uncharged rotating (Myers-Perry) black holes were found long ago, black hole solutions of Einstein-Maxwell theory, are not yet known in closed form in more than 4 dimensions, when both electric charge and rotation are present. Here we therefore study these solutions and those of Einstein-Maxwell-dilaton theory, by using numerical and perturbative methods, and by exploiting the existence of spacetime symmetries. The properties of these black holes reveal new interesting features, not seen in D=4. For instance, unlike the D=4 Kerr-Newman solution, they possess a non-constant gyromagnetic factor.