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Spin contributions to the gravitational-waveform modes for spin-aligned binaries at the 3.5PN order

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arxiv 2209.00374 v2 pith:ZOILC5XD submitted 2022-09-01 gr-qc

classification gr-qc
keywords ordercontributionsmultipolarwaveformbinariesemittedequatorialmodels
verification ladder T0 review T1 audit T2 compute T3 formal
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We complete the post-Newtonian (PN) prediction at the 3.5PN order for the spin contributions to the gravitational waveforms emitted by inspiraling compact binaries, in the case of quasi-circular, equatorial orbits, where both spins are aligned with the orbital angular momentum. Using results from the multipolar post-Minkowskian wave generation formalism, we extend previous works that derived the dynamics and gravitational-wave energy flux and phasing, by computing the full waveform decomposed in spin-weighted spherical harmonics. This new calculation requires the computation of multipolar moments of higher multipolar order, new quadratic-in-spin contributions to the hereditary tail terms entering at the 3.5PN order, as well as other non-linear interactions between moments. When specialized to the test-mass limit, our results are equivalent to those obtained in the literature for the waveform emitted by a test-mass in equatorial, circular orbits around a Kerr black hole. We also compute the factorized modes for use in effective-one-body waveform models, correcting the 2.5PN nonspinning and 3PN quadratic-in-spin terms in the (2,1) mode used in current models.

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Cited by 5 Pith papers

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

  1. 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.

  2. 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.

  3. Advancing the Effective-One-Body Framework in the Test-Mass Limit

    gr-qc 2026-03 conditional novelty 6.0 of 10

    SEOB-TML cuts dephasing by up to an order of magnitude in the test-mass limit by Q-factorizing the flux (including horizon absorption) and by modeling mode mixing with extracted QNM coefficients.

  4. Early Warning From Eccentric Compact Binaries: Template Initialization And Sub-dominant Mode Effects

    gr-qc 2025-07 conditional novelty 6.0 of 10

    For eccentric neutron star and black hole binaries, initializing early-warning templates at the periastron frequency, and including subdominant waveform modes, measurably improves sky localization and early warning time.

  5. Spin effects in the phasing formula of eccentric compact binary inspirals up to the third post-Newtonian order

    gr-qc 2024-12 conditional novelty 5.0 of 10

    Closed-form post-Newtonian phasing formulas for eccentric, spin-aligned compact binary inspirals are derived to 3PN order and to eighth order in initial eccentricity, with a resummation extending validity to e0 around 0.55.

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