The double copy: Bremsstrahlung and accelerating black holes

By A. Luna, R. Monteiro, Isobel Nicholson, D. O’Connell, Chris D. White. 2016

183 citations recorded by the source corpus.

A bstractAdvances in our understanding of perturbation theory suggest the existence of a correspondence between classical general relativity and Yang-Mills theory. A concrete example of this correspondence, which is known as the double copy, was recently intro-duced for the case of stationary Kerr-Schild spacetimes. Building on this foundation, we examine the simple time-dependent case of an accelerating, radiating point source. The gravitational solution, which generalises the Schwarzschild solution, includes a non-trivial stress-energy tensor. This stress-energy tensor corresponds to a gauge theoretic current in the double copy. We interpret both of these sources as representing the radiative part of the field. Furthermore, in the simple example of Bremsstrahlung, we determine a scattering amplitude describing the radiation, maintaining the double copy throughout. Our results provide the strongest evidence yet that the classical double copy is directly related to the BCJ double copy for scattering amplitudes.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c8e080d9f9696d75ee831e16093eaff225bb6a05

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Citations in the corpus

TASI Lectures on Scattering Amplitudes (2017, background): “articular, an apparent vestige of the duality has been discovered in classical solutions in gauge theory and gravity. In its simplest incarnation, “black hole = charge2” 6 Color-Kinematics Duality 46 [114, 115, 116, 117], the Schwarzschild solution of general relativity is shown to be dual to the Co”
The Kerr-Schild double copy in curved spacetime (2017, background): “As mentioned above, stronger evidence for the connection between the classical and amplitude double copies comes from considering the accelerated particle, where the Kerr-Schild description recovers known amplitudes for the emission of soft photons and gravitons [69].”