Asymptotically flat charged rotating dilaton black holes in higher dimensions

TL;DR

This paper presents a new class of higher-dimensional, asymptotically flat, slowly rotating charged black hole solutions in Einstein-Maxwell-dilaton theory, extending known four-dimensional solutions and analyzing the effects of the dilaton field.

Contribution

The authors derive the first known higher-dimensional solutions for slowly rotating charged black holes with arbitrary dilaton coupling, generalizing previous four-dimensional results.

Findings

Solution reduces to higher-dimensional Kerr-Newman when dilaton is absent.

Dilaton field alters the gyromagnetic ratio of black holes.

Explicit expressions for angular momentum and gyromagnetic ratio are provided.

Abstract

We find a class of asymptotically flat slowly rotating charged black hole solutions of Einstein-Maxwell-dilaton theory with arbitrary dilaton coupling constant in higher dimensions. Our solution is the correct one generalizing the four-dimensional case of Horne and Horowitz \cite{Hor1}. In the absence of a dilaton field, our solution reduces to the higher dimensional slowly rotating Kerr-Newman black hole solution. The angular momentum and the gyromagnetic ratio of these rotating dilaton black holes are computed. It is shown that the dilaton field modifies the gyromagnetic ratio of the black holes.