All order gravitational waveforms from scattering amplitudes

Abstract

Waveforms are classical observables associated with any radiative physical process. Using scattering amplitudes, these are usually computed in a weak-field regime to some finite order in the post-Newtonian or post-Minkowskian approximation. Here, we use strong field amplitudes to compute the waveform produced in scattering of massive particles on gravitational plane waves, treated as exact nonlinear solutions of the vacuum Einstein equations. Notably, the waveform contains an infinite number of post-Minkowskian contributions, as well as tail effects. We also provide, and contrast with, analogous results in electromagnetism.

16 pages + references, 1 figure. v2: added appendix on perturbative limits, published version

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• Observables and Unconstrained Spin Tensor Dynamics in General Relativity from Scattering Amplitudes
• Dynamics, quantum states and Compton scattering in nonlinear gravitational waves
• Loop corrections versus marginal deformation in celestial holography
• Double soft graviton factors from the gravitational Wilson line
• Exact solution of the DeWitt-Brehme-Hobbs equation in copropagating electromagnetic and gravitational waves