pith. sign in

arxiv: 1409.3546 · v2 · pith:LJTVORHWnew · submitted 2014-09-11 · 🌀 gr-qc

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

Guillaume Faye , Luc Blanchet , Bala R. Iyer This is my paper
classification 🌀 gr-qc
keywords orderpost-newtonianbinariescompactnon-linearoctupolecontributionsgravitational
0
0 comments X
read the original 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 to complete the expressions of the octupole modes (3,3) and (3,1) of the gravitational waveform to order 3.5PN. At 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Resummation of Universal Tails in Gravitational Waveforms

    hep-th 2025-04 unverdicted novelty 7.0

    A universal anomalous dimension for multipole moments in GR is derived via two EFT methods and applied to resum short-distance logarithmic tails in binary gravitational waveforms.

  2. Convergence of post-Newtonian for quasi-circular non-precessing comparable mass ratios BBHs

    gr-qc 2026-05 unverdicted novelty 6.0

    For orbital velocities below 0.45, PN energy flux agreement with NR improves up to incomplete 6PN with non-monotonic behavior, but convergence is lost near v approximately 0.5.

  3. Worldline effective field theory of inspiralling black hole binaries in presence of dark photon and axionic dark matter

    hep-th 2023-05 unverdicted novelty 6.0

    Computes 1PN conservative dynamics for gravitational/EM/Proca fields and 2PN for scalar, plus radiation effects from axion-photon coupling at high PN orders in binary black hole systems with dark matter.

  4. Comparison of 4.5PN and 2SF gravitational energy fluxes from quasicircular compact binaries

    gr-qc 2024-06 conditional novelty 4.0

    4.5PN and 2SF calculations of gravitational energy flux for quasicircular compact binaries agree.

  5. Post-Newtonian Theory for Gravitational Waves

    gr-qc 2013-10 unverdicted novelty 2.0

    A review of the MPM-PN approximation scheme that yields equations of motion to 4PN order and gravitational waveforms and fluxes to 4.5PN order for compact binary systems.