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Complete gravitational-waveform amplitude modes for quasi-circular compact binaries to the 3.5PN order

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arxiv 2210.15602 v2 pith:WXTGKQNY submitted 2022-10-27 gr-qc

classification gr-qc
keywords amplitudebinariesmodesorderquasi-circularcompactcompletecomputation
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We complete the computation of the gravitational waveform amplitude for non-spinning compact binaries to the third and a half post-Newtonian (PN) order in the quasi-circular case. This is done by performing a spin-weighted spherical harmonics decomposition of the amplitude. This computation is achieved using the post-Newtonian-Multipolar-post-Minkowskian formalism. The amplitude modes are written in a PN expanded way as well as a factorized form suitable for EOB template building. Combining this work with previous ones, we provide in the supplemental materials the expressions of the modes including all non-spinning and spinning effects to the 3.5PN order for non-precessing quasi-circular binaries.

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Cited by 3 Pith papers

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

  1. Fast gravitational waveform models for quasi-circular coalescences of neutron star--black hole binaries

    gr-qc 2026-06 unverdicted novelty 7.0 of 10

    Presents new NSBH waveform models IMRPhenomXHM_NSBH, SEOBNRv5HM_ROM_NRTidalv3_NSBH, and IMRPhenomXPHM_NSBH incorporating higher modes and tidal effects via NRTidalv3 extensions, validated against NR simulations and ap...

  2. Tidal contributions to the full gravitational waveform to the second-and-a-half post-Newtonian order

    gr-qc 2024-12 conditional novelty 7.0 of 10

    Tidal contributions to all gravitational waveform amplitude modes up to l=7 are derived to 2.5PN for quasi-circular non-spinning compact binaries, with flux and phasing provided at the same order.

  3. Third post-Newtonian dynamics for eccentric orbits and aligned spins in the effective-one-body waveform model SEOBNRv5EHM

    gr-qc 2024-12 conditional novelty 7.0 of 10

    The authors obtain, for the first time, 3PN-accurate eccentric-orbit fluxes, radiation-reaction force, and waveform modes in the effective-one-body formalism, and use them to build the SEOBNRv5EHM inspiral model.

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