TY  - EJOUR
AU  - Blanchet, Luc
AU  - Faye, Guillaume
AU  - Henry, Quentin
AU  - Larrouturou, Francois
AU  - Trestini, David
TI  - Gravitational Wave Flux and Quadrupole Modes from Quasi-Circular Non-Spinning Compact Binaries to the Fourth Post-Newtonian Order
IS  - DESY-23-044
M1  - PUBDB-2023-01454
M1  - DESY-23-044
M1  - arXiv:2304.11186
PY  - 2023
N1  - 32 pages, no figure
AB  - This article provides the details on the technical derivation of the gravitational waveform and total gravitational-wave energy flux of non-spinning compact binary systems to the 4PN (fourth post-Newtonian) 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 'post-adiabatic' correction needed to evaluate the tail integral with 2.5PN relative precision; (iv) we discuss the relation between the binary's orbital frequency in quasi-circular 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.
KW  - binary, compact (INSPIRE)
KW  - energy, flux (INSPIRE)
KW  - gravitational radiation, energy (INSPIRE)
KW  - regularization, dimensional (INSPIRE)
KW  - gravitational radiation, frequency (INSPIRE)
KW  - gravitational radiation, flux (INSPIRE)
KW  - multipole (INSPIRE)
KW  - commutation relations (INSPIRE)
KW  - infrared (INSPIRE)
KW  - orbit (INSPIRE)
KW  - Einstein (INSPIRE)
LB  - PUB:(DE-HGF)25
DO  - DOI:10.3204/PUBDB-2023-01454
UR  - https://bib-pubdb1.desy.de/record/580807
ER  -