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.

9 pages plus references, 1 figure

References in corpus (15)

• Black holes and the double copy
• The Kinematic Algebra From the Self-Dual Sector
• The Kerr-Schild double copy in curved spacetime
• Yang-Mills origin of gravitational symmetries
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• A worldsheet for Kerr
• Covariant Color-Kinematics Duality
• Extended solutions for the biadjoint scalar field
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• Unfolded Description of $Ad{S}_4$ Kerr Black Hole
• Alternative formulations of the twistor double copy
• Anti-Self-Dual Spacetimes, Gravitational Instantons and Knotted Zeros of the Weyl Tensor
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Cited by in corpus (17)

• Classical double copy at null infinity
• Asymptotic Weyl Double Copy
• 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?
• Isometries and the double copy
• Non-perturbative aspects of the self-dual double copy
• Aligned Fields Double Copy to Kerr-NUT-(A)dS
• Classical Double Copy of Spinning Worldline Quantum Field Theory
• Weyl double copy and massless free fields in curved spacetimes
• Planar solutions of higher-spin theory. Nonlinear corrections
• A spinorial double copy for $\mathcal{N}=0$ supergravity
• Note on the asymptotic structure of Kerr-Schild form
• Compactifying the Kerr-Schild Double Copy
• Weyl double copy in type D spacetime in four and five dimensions
• Five dimensional Weyl double copy
• Massive Covariant Colour-Kinematics in 3D