Double copy, Kerr-Schild gauges and the Effective-One-Body formalism

2023/12/03 by Anna Ceresole, Thibault Damour, Ceresole, Anna +5
Physics and Astronomy · Engineering · #Pulsars and Gravitational Waves Research #Geophysics and Sensor Technology #Quantum and Classical Electrodynamics

paper · pdf · doi:10.48550/arxiv.2312.01478

Abstract

We look for a classical double copy structure between gravity and electrodynamics by connecting the descriptions of the scattering of two point masses, and of two point charges, in terms of perturbative (post-Minkowskian or post-Lorentzian) expansions. We do so by recasting available analytical information within the effective-one-body formalism using Kerr-Schild gauges in both cases. Working at the third perturbative level, we find that the usual linear relation (holding in the probe limit) between the dimensionless electric potential, ϕ= (G M)/(e₁ e₂) ϕ^{\rm el}, and the Schwarzschildlike gravitational one, Φ^{\rm grav}, is deformed, in the comparable-mass, comparable-charge, case, into a nonlinear relation which becomes universal in the high energy limit: Φ^{\rm grav}= 2ϕ-5ϕ² + 18ϕ³.

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