The double copy of the multipole expansion

Abstract

We consider the classical double copy, that relates solutions of biadjoint scalar, gauge and gravity theories. Using a recently developed twistor expression of this idea, we use well-established techniques to show that the multipole moments of arbitrary vacuum type D gravity fields are straightforwardly mapped to their counterparts in gauge and biadjoint scalar theory by the single and zeroth copies. We cross-check our results using previously obtained results for the Kerr metric. Our results provide further physical intuition of how the double copy operates.

arXiv comment9 pages plus references, 1 figure

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• Einstein-Maxwell theory and the Weyl double copy
• Alternative formulations of the twistor double copy
• Why is the Weyl double copy local in position space?
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• Massive Covariant Colour-Kinematics in 3D