Preprint

PUBDB-2023-01454

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Gravitational Wave Flux and Quadrupole Modes from Quasi-Circular Non-Spinning Compact Binaries to the Fourth Post-Newtonian Order

Blanchet, L. (Corresponding author) ; Faye, G. (Corresponding author) ; Henry, Q. (Corresponding author) ; Larrouturou, F. (Corresponding author)DESY* ; Trestini, D. (Corresponding author)

2023

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Please use a persistent id in citations: doi:10.3204/PUBDB-2023-01454

Report No.: DESY-23-044; arXiv:2304.11186

Abstract: 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.

Keyword(s): binary, compact ; energy, flux ; gravitational radiation, energy ; regularization, dimensional ; gravitational radiation, frequency ; gravitational radiation, flux ; multipole ; commutation relations ; infrared ; orbit ; Einstein

Note: 32 pages, no figure

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Contributing Institute(s):

1. Theoretische Astroteilchenphysik (Z_THAT)

Research Program(s):

1. 613 - Matter and Radiation from the Universe (POF4-613) (POF4-613)
2. LHCtoLISA - Precision Gravity: From the LHC to LISA (817791) (817791)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2023

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Database coverage:
; ; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Blanchet, L. (Corresponding author) ; Faye, G. ; Henry, Q. ; Larrouturou, F.DESY* ; Trestini, D.
Gravitational Wave Flux and Quadrupole Modes from Quasi-Circular Non-Spinning Compact Binaries to the Fourth Post-Newtonian Order
Physical review / D 108(6), 064041 (2023) [10.1103/PhysRevD.108.064041]2023     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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