# Weakly charged generalized Kerr-NUT-(A)dS spacetimes

## TL;DR

This paper derives an explicit source-free Maxwell field solution in higher-dimensional Kerr-NUT-(A)dS spacetimes using conformal Killing-Yano tensors and Killing vectors, generalizing Wald's electromagnetic field.

## Contribution

It presents a new explicit electromagnetic solution in generalized Kerr-NUT-(A)dS spacetimes, extending previous results to all dimensions with a novel construction involving conformal Killing-Yano tensors.

## Key findings

- Explicit Maxwell solution in all dimensions
- Reduces to Wald's field when cosmological constant vanishes
- Utilizes conformal Killing-Yano tensor and Killing vector

## Abstract

We find an explicit solution of the source free Maxwell equations in a generalized Kerr-NUT-(A)dS spacetime in all dimensions. This solution is obtained as a linear combination of the closed conformal Killing-Yano tensor $h_{ab}$, which is present in such a spacetime, and a derivative of the primary Killing vector, associated with $h_{ab}$. For the vanishing cosmological constant the obtained solution reduces to the Wald's electromagnetic field generated from the primary Killing vector.