Gravitational-wave flux and quadrupole modes from quasicircular nonspinning compact binaries to the fourth post-Newtonian order

This article provides the details on the technical derivation of the gravitational waveform and total gravitational-wave energy flux of nonspinning compact binary systems to the fourth post-Newtonian (4PN) order beyond the Einstein quadrupole formula. In particular: (i) we overview the link between the radiative multipole moments measured at infinity and the source moments in the framework of dimensional regularization; (ii) we compute special corrections to the source moments due to "infrared"commutators arising at the 4PN order; (iii) we derive a "postadiabatic"correction needed to evaluate the tail integral with 2.5PN relative precision; (iv) we discuss the relation between the binary's orbital frequency in quasicircular orbit and the gravitational-wave frequency measured at infinity; (v) we compute the hereditary effects at the 4PN order, including those coming from the recently derived tails-of-memory; and (vi) we describe the various tests we have performed to ensure the correctness of the results. Those results are collected in an ancillary file.

10.1103/PhysRevD.108.064041

2470-0010

Blanchet, Luc

d208bbd8-6eb0-4da8-adb2-e5e46afd2596

Faye, Guillaume

462a7e27-ec6a-45d3-aaa7-37a2af14c0ae

Henry, Quentin

15b9765f-56c6-40bd-8d4d-83af45c7f58d

Larrouturou, François

251e9719-46ea-42e7-a007-27a2cb15302a

Trestini, David

f72ecc41-21fa-453b-8209-01a7ab746b89

21 September 2023

Blanchet, Luc

d208bbd8-6eb0-4da8-adb2-e5e46afd2596

Faye, Guillaume

462a7e27-ec6a-45d3-aaa7-37a2af14c0ae

Henry, Quentin

15b9765f-56c6-40bd-8d4d-83af45c7f58d

Larrouturou, François

251e9719-46ea-42e7-a007-27a2cb15302a

Trestini, David

f72ecc41-21fa-453b-8209-01a7ab746b89

Blanchet, Luc, Faye, Guillaume, Henry, Quentin, Larrouturou, François and Trestini, David (2023) Gravitational-wave flux and quadrupole modes from quasicircular nonspinning compact binaries to the fourth post-Newtonian order. Physical Review D, 108 (6), [064041]. (doi:10.1103/PhysRevD.108.064041).

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Published date: 21 September 2023

Additional Information: Publisher Copyright: © 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"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. Open access publication funded by the Max Planck Society.