Higher Dimensional Charged Rotating Dilaton Black Holes

TL;DR

This paper derives the metric and physical properties of higher-dimensional charged dilaton black holes with rotation, revealing how the gyromagnetic ratio varies with the dilaton coupling in different spacetime backgrounds.

Contribution

It provides a new solution for higher-dimensional charged rotating dilaton black holes with multiple rotation parameters and analyzes how their gyromagnetic ratio depends on the dilaton coupling.

Findings

Gyromagnetic ratio decreases as dilaton coupling increases.

Explicit expressions for mass, angular momentum, and gyromagnetic ratio are obtained.

Solutions are valid for asymptotically flat and (A)dS spacetimes.

Abstract

In this paper, we present the metric for the $n$-dimensional charged slowly rotating dilaton black hole with $N = [(n -1)/2]$ independent rotation parameters, associated with $N$ orthogonal planes of rotation in the background of asymptotically flat and asymptotically (anti)-de Sitter spacetime. The mass, angular momentum and the gyromagnetic ratio of such a black hole are determined for the arbitrary values of the dilaton coupling constant. We find that the gyromagnetic ratio crucially depends on the dilaton coupling constant, $\alpha$, and decreases with increasing $\alpha$ in any dimension.