Rotating Black Holes in Einstein-Maxwell-Dilaton Gravity

TL;DR

This paper introduces a new class of slowly rotating black hole solutions in higher-dimensional Einstein-Maxwell-dilaton gravity with Liouville potential, expanding understanding of black holes with non-trivial scalar fields.

Contribution

It presents novel slowly rotating black hole solutions in higher dimensions with dilaton fields and arbitrary coupling, generalizing known solutions and analyzing their physical properties.

Findings

Solutions are neither asymptotically flat nor (A)dS due to the dilaton.

Reduces to Kerr-Newman in absence of dilaton for small rotation.

Computed angular momentum and gyromagnetic ratio of the black holes.

Abstract

We present a new class of slowly rotating black hole solutions in $(n+1)$-dimensional $(n\geq3)$ Einstein-Maxwell-dilaton gravity in the presence of Liouville-type potential for the dilaton field and an arbitrary value of the dilaton coupling constant. Because of the presence of the dilaton field, the asymptotic behaviour of these solutions are neither flat nor (A)dS. In the absence of a dilaton field, our solution reduces to the $(n+1)$-dimensional Kerr-Newman modification thereof for small rotation parameter \cite{Aliev2}. We also compute the angular momentum and the gyromagnetic ratio of these rotating dilaton black holes.