A note on the Kerr-Newman metric in five dimensions

TL;DR

This paper derives a five-dimensional Kerr-Newman metric with equal rotation, expressing it in Kerr-Schild form and providing a perturbative solution for the unknown functions involved.

Contribution

It introduces a new ansatz for the five-dimensional Kerr-Newman metric and solves for its functions using perturbation series, extending the understanding of higher-dimensional rotating charged black holes.

Findings

The metric can be expressed in Kerr-Schild form.

The unknown functions are determined perturbatively.

The background is flat at spatial infinity.

Abstract

We derive an ansatz for the five dimensional equal-rotation Kerr-Newman metric that contains two unknown functions. By solving for these functions through perturbation series, we find that the metric can be cast into the Kerr-Shild form in a background that is flat at the spatial infinity.