Journal Article

PUBDB-2023-05916

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. ; Henry, Q. ; Larrouturou, F.DESY* ; Trestini, D.

2023
American Physical Society Ridge, NY

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Please use a persistent id in citations: doi:10.1103/PhysRevD.108.064041  doi:10.3204/PUBDB-2023-05916

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: circle ; Einstein ; expansion: higher-order ; higher-order: 4 ; wave function ; asymptotic behavior ; orbit: frequency ; orbit: correction ; gravitation: effect

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:
; ; ; Clarivate Analytics Master Journal List ; Current Contents - Electronics and Telecommunications Collection ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; Essential Science Indicators ; IF >= 5 ; JCR ; SCOAP3 sponsored Journal ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Blanchet, L. (Corresponding author) ; Faye, G. (Corresponding author) ; Henry, Q. (Corresponding author) ; Larrouturou, F. (Corresponding author)DESY* ; Trestini, D. (Corresponding author)
Gravitational Wave Flux and Quadrupole Modes from Quasi-Circular Non-Spinning Compact Binaries to the Fourth Post-Newtonian Order
[10.3204/PUBDB-2023-01454]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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