Aligned Fields Double Copy to Kerr-NUT-(A)dS

TL;DR

This paper extends the double copy correspondence to a broad class of Kerr-NUT-(A)dS black holes, including NUT charges and cosmological constants, by constructing aligned gauge fields through a multi-Kerr-Schild approach.

Contribution

It introduces a generalized multi-Kerr-Schild method to find Abelian gauge fields double copying to Kerr-NUT-(A)dS black holes, incorporating NUT charges and cosmological constants.

Findings

Constructed aligned gauge fields for Kerr-NUT-(A)dS black holes.

Extended double copy to include NUT charges and cosmological constants.

Derived gauge fields in five dimensions via Weyl double copy.

Abstract

We find Abelian gauge fields that double copy to a large class of black hole spacetimes with spherical horizon topology known as the Kerr-NUT-(A)dS family. Using a multi-Kerr-Schild prescription, we extend the previously-known double copy structure for arbitrarily rotating general dimension black holes, to include NUT charges and an arbitrary cosmological constant. In all cases, these single copy gauge fields are 'aligned fields', because their nonzero components align with the principal tensor which generates the Killing structure of the spacetime. In five dimensions, we additionally derive the same single-copy field strengths via the Weyl double copy procedure.