Leading-order gravitational radiation to all spin orders

Creators: Aoude, Rafael; Haddad, Kays; Heissenberg, Carlo; Helset, Andreas

Abstract

Starting with on-shell amplitudes compatible with the scattering of Kerr black holes up to Compton-amplitude contact terms, we produce the gravitational waveform and memory effect including spin at their leading post-Minkowskian orders to all orders in the spins of both scattering objects. For the memory effect, we present results at next-to-leading order as well, finding a closed form for all spin orders when the spins are anti-aligned and equal in magnitude. Considering instead generically oriented spins, we produce the next-to-leading-order memory to sixth order in spin. Compton-amplitude contact terms up to sixth order in spin are included throughout our analysis.

Copyright and License

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Funding

Funded by SCOAP³.

Acknowledgement

This project was inspired by Donal O’Connell’s talk at the Nordita workshop “Amplifying Gravity at All Scales.” We thank Fabian Bautista, Zvi Bern, Stefano De Angelis, Gustav Uhre Jakobsen, Gustav Mogull, Jan Plefka, Rodolfo Russo, and Biswajit Sahoo for helpful discussions. We are grateful to Stefano De Angelis, Riccardo Gonzo, and Pavel Novichkov for their open communication during their work on Ref. [72] and for sharing a draft before its release. R. A. is supported by the FSR Program of UCLouvain. K. H. is supported by the Knut and Alice Wallenberg Foundation under Grants No. KAW 2018.0116 (From Scattering Amplitudes to Gravitational Waves) and No. KAW 2018.0162. K. H. is grateful to Nordita for their ongoing hospitality. C. H. is supported by UK Research and Innovation (UKRI) under the UK government’s Horizon Europe funding guarantee (Grant No. EP/X037312/1 “EikoGrav: Eikonal Exponentiation and Gravitational Waves”). A. H. is supported by the DOE under Award No. DE-SC0011632 and by the Walter Burke Institute for Theoretical Physics.

Files

PhysRevD.109.036007.pdf

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PhysRevD.109.036007.pdf md5:c0942131c024d9af32abe86cd70c890c	404.6 kB	Preview Download
waveformAmplitudeSpin5.mx md5:e6b646e92610a40abd762bd6b84c6369	10.7 MB	Download
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waveformAmplitudeSpin2.mx md5:68ef319257a3728b756eea7d747387be	344.6 kB	Download
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