Gravitational radiation from the classical spinning double copy

Abstract

We establish a correspondence between perturbative classical gluon and gravitational radiation emitted by spinning sources, to linear order in spin. This is an extension of the non-spinning classical perturbative double copy and uses the same color-to-kinematic replacements. The gravitational theory has a scalar (dilaton) and a 2-form field (the Kalb-Ramon axion) in addition to the graviton. In arXiv:1712.09250, we computed axion radiation in the gravitational theory to show that the correspondence fixes its action. Here, we present complete details of the gravitational computation. In particular, we also calculate the graviton and dilaton amplitudes in this theory and find that they precisely match with the predictions of the double copy. This constitutes a non-trivial check of the classical double copy correspondence, and brings us closer to the goal of simplifying the calculation of gravitational wave observables for astrophysically relevant sources.

arXiv comment20 pages, 4 figures

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• Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
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• Gravity as Gauge Theory Squared: A Ghost Story
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• Mining the Geodesic Equation for Scattering Data
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• Test black holes, scattering amplitudes and perturbations of Kerr spacetime
• On the Double Copy for Spinning Matter
• Classical Sub-subleading Soft Photon and Soft Graviton Theorems in Four Spacetime Dimensions
• Classical Double Copy of Worldline Quantum Field Theory
• Unraveling conformal gravity amplitudes
• Heterotic Kerr-Schild Double Field Theory and Classical Double Copy
• Massive Gravity from Double Copy
• Loop-Level Double-Copy for Massive Quantum Particles
• Classical double copy from Color Kinematics duality: A proof in the soft limit
• On the Lagrangian formulation of the double copy to cubic order
• The single copy of the gravitational holonomy
• Post-Newtonian Waveforms from Spinning Scattering Amplitudes
• Classical Double Copy of Spinning Worldline Quantum Field Theory
• Kaluza-Klein from Colour-Kinematics Duality for Massive Fields
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• Classical Gravitational Self-Energy from Double Copy
• Spin Dependent Gravitational Tail Memory in $D=4$
• Extracting Einstein from the Loop-Level Double-Copy
• The classical double copy in curved spacetimes: Perturbative Yang-Mills from the bi-adjoint scalar
• Color-kinematics duality, double copy and the unitarity method for higher-derivative QCD and quadratic gravity
• Note on the asymptotic structure of Kerr-Schild form
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• Waveforms from Amplitudes
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