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

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.

arXiv comment28 pages. v2: Added missing reference and fixed bibliography formatting

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• Gravito-electromagnetism, Kerr-Schild and Weyl double copies; a unified perspective
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• Weyl double copy in type D spacetime in four and five dimensions
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• New framework for classical double copies
• On the uniqueness of the Kerr-(A)dS metric as a type II(D) solution in six dimensions
• On type II(D) Einstein spacetimes in six dimensions