Non-linear multipole interactions and gravitational-wave octupole modes for inspiralling compact binaries to third-and-a-half post-Newtonian order

2014/09/30 by Guillaume Faye, Luc Blanchet, B. R. Iyer +1 · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #Astrophysical Phenomena and Observations #Astrophysics #Classical mechanics #General relativity #Geophysics and Gravity Measurements #Gravitation #Gravitational wave #Multipole expansion #Newtonian fluid #Numerical relativity #Physics #Pulsars and Gravitational Waves Research #Quadrupole #Quantum mechanics #Waveform #gr-qc

paper · pdf · doi:10.1088/0264-9381/32/4/045016

published as Class. Quantum Grav. 32 (2015) 045016 · 37 pages, no figure; minor corrections

openalex publication_date 2015/01/27 · arxiv created 2015/02/04 · arxiv updated 2015/06/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

This paper is motivated by the need to improve the post-Newtonian (PN) amplitude accuracy of waveforms for gravitational waves generated by inspiralling compact binaries, both for use in data analysis and in the comparison between post-Newtonian approximations and numerical relativity computations. It presents (i) the non-linear couplings between multipole moments of general post-Newtonian matter sources up to order 3.5PN, including all contributions from tails, tails-of-tails and the non-linear memory effect; and (ii) the source mass-type octupole moment of (non-spinning) compact binaries up to order 3PN, which permits completion of the expressions of the octupole modes ( 3 , 3 ) and ( 3 , 1 ) of the gravitational waveform to order 3.5PN. On this occasion we reconfirm by means of independent calculations our earlier results concerning the source mass-type quadrupole moment to order 3PN. Related discussions on factorized resummed waveforms and the occurence of logarithmic contributions to high order are also included.

Citations

• Gravitational Waves from a Particle in Circular Orbits around a Schwarzschild Black Hole to the 22nd Post-Newtonian Order
• Gravitational-wave bursts with memory: The Christodoulou effect
• Christodoulou's nonlinear gravitational-wave memory: Evaluation in the quadrupole approximation
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• Hereditary effects in gravitational radiation
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• Regularization and renormalization of gauge fields
• Third post-Newtonian dynamics of compact binaries: equations of motion in the centre-of-mass frame
• General relativistic dynamics of compact binaries at the third post-Newtonian order
• Effective one-body approach to general relativistic two-body dynamics
• Post-Newtonian corrections to the gravitational-wave memory for quasicircular, inspiralling compact binaries

Cited by

• Gravitational-wave tail effects to quartic non-linear order