Semantic Appartus – Classical double copy at null infinity

Cited by Lee Sonogan

Sabine Hossenfelder: Backreaction: Causal Diagrams

Abstract by Tim Adamo, Uri Kol

We give two double copy prescriptions which construct asymptotically flat solutions in gravity from asymptotically flat gauge fields. The first prescription applies to radiative fields, which are non-linear vacuum solutions determined by characteristic data at null infinity. For any two such radiative gauge fields (linear or non-linear), the characteristic data of a radiative metric, dilaton and axion is constructed by a simple `squaring’ procedure, giving a classical double copy at the level of radiation fields. We demonstrate the procedure with several examples where the characteristic data can be explicitly integrated; for linear fields this also sheds light on the twistorial description of Weyl double copy. Our second prescription applies to all asymptotically flat fields at the level of their asymptotic equations of motion: we give a map between any solution of the asymptotic Maxwell equations and any solution of the asymptotic Einstein equations at null infinity. This also extends to the asymptotic charges and their duals, preserves the soft and hard sectors between gauge theory and gravity, and is related to the usual notion of double copy in scattering amplitudes.

Publication: Cornell University (Peer-Reviewed Journal)

Pub Date: 16 Sep, 2021 Doi:

Keywords: Classical, Double Copy, Null Infinity (Plenty more sections and references in this research article)

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