# Duality and $\mu$-separability of Maxwell equations in Kerr-NUT-(A)dS spacetime

## TL;DR

This paper investigates a new separation ansatz for Maxwell equations in Kerr-NUT-(A)dS spacetime, revealing a duality symmetry and a discrete transformation of separation parameters that enhances understanding of electromagnetic fields in this geometry.

## Contribution

It introduces a novel ansatz for separating Maxwell equations in Kerr-NUT-(A)dS spacetime and uncovers a duality symmetry related to the solutions.

## Key findings

- Existence of a dual Maxwell field solution with similar separability properties.
- Identification of a discrete symmetry under a transformation of separation parameters.
- Enhanced understanding of electromagnetic duality in complex spacetime geometries.

## Abstract

We study properties of a recently proposed new ansatz for separation of variables in the Maxwell equations in four dimensional Kerr-NUT-(A)dS spacetime. We demonstrate that a dual field, which is also a solution of the source-free Maxwell equations, can be presented in a similar form. This result implies that the corresponding separated equations possess a discrete symmetry under a special transform of the separation parameters.