Perturbative Charged Rotating 5D Einstein-Maxwell Black Holes

TL;DR

This paper develops perturbative solutions for charged rotating 5D Einstein-Maxwell black holes, revealing deviations in gyromagnetic ratio and confirming accuracy through comparison with numerical solutions.

Contribution

It introduces a perturbative method up to 4th order for charged rotating 5D black holes, providing explicit physical properties and analyzing gyromagnetic ratio behavior.

Findings

Gyromagnetic ratio g varies with perturbation order.

Perturbative solutions agree well with numerical results.

Physical properties of 5D black holes are explicitly derived.

Abstract

We present perturbative charged rotating 5D Einstein-Maxwell black holes with spherical horizon topology. The electric charge Q is the perturbative parameter, the perturbations being performed up to 4th order. The expressions for the relevant physical properties of these black holes are given. The gyromagnetic ratio g, in particular, is explicitly shown to be non-constant in higher order, and thus to deviate from its lowest order value, g=3. Comparison of the perturbative analytical solutions with their non-perturbative numerical counterparts shows remarkable agreement.