Maxwell's Equations in the Myers-Perry Geometry

TL;DR

This paper shows how Maxwell's equations can be separated and explicitly solved in the Myers-Perry-(A)dS black hole geometry, providing new insights and methods applicable to higher-dimensional rotating black holes.

Contribution

It introduces a novel separability approach for Maxwell's equations in Myers-Perry-(A)dS spacetime and proposes a new ansatz for the Maxwell field in four-dimensional Kerr black holes.

Findings

Explicit solutions for Maxwell's equations in Myers-Perry-(A)dS geometry

A new ansatz for Maxwell fields in four-dimensional Kerr black holes

Enhanced understanding of electromagnetic fields in rotating black hole backgrounds

Abstract

We demonstrate separability of the Maxwell's equations in the Myers-Perry-(A)dS geometry and derive explicit solutions for various polarizations. Application of our construction to the four-dimensional Kerr black hole leads to a new ansatz for the Maxwell field which has significant advantages over the previously known parameterization.