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Spin effects in Spherical Harmonic Modes of Gravitational Waves from Eccentric Compact Binary Inspirals

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arxiv 2211.04155 v2 pith:2VQBU64X submitted 2022-11-08 gr-qc astro-ph.HE

Kaushik Paul , Chandra Kant Mishra This is my paper · ORCID
classification gr-qcastro-ph.HE
keywords modesspinorbitsresultsbinariescompacteccentriceffects
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abstract

We compute the leading and sub-leading spin effects through the second post-Newtonian order (2PN) in spherical harmonic modes of gravitational waveforms from inspiralling compact binaries in non-circular orbits with non-precessing components. The two spin couplings, linear-in-spin (spin-orbit; SO) and quadratic-in-spin (spin-spin; SS), that appear in 2PN waveforms are computed with desired accuracy and explicit expressions for relevant modes are derived. The modes that have spin corrections through 2PN include $(\ell, |m|)$=$((2,2),\,(2,1),\,(3,3),\,(3,2),\,(3,1),\,(4,3),\,(4,1))$ modes. Closed form expressions for these modes for compact binaries in general orbits as well as in elliptical orbits are being provided. While the general orbit results can be used to study signals from binaries in orbits of arbitrary shape and nature, elliptical orbit results are applicable to systems with arbitrary eccentricities. We also express the elliptical orbit results as leading eccentric corrections to the circular results. Our prescription represents, the first, fully analytical treatment that combines spins, eccentricity and higher modes together and completes computation of spin effects through 2PN order. These should find immediate applications in inspiral-merger-ringdown modelling for eccentric mergers including the effect of non-precessing spins and higher modes as well as in parameter estimation analyses employing inspiral waveform.

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Cited by 4 Pith papers

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

  1. Consistency of spin effects between numerical relativity and perturbation theory for inspiraling comparable-mass black hole binaries

    gr-qc 2025-10 conditional novelty 6.0 of 10

    Adiabatic point-particle black hole perturbation theory reproduces numerical-relativity spin effects in comparable-mass inspirals to within ~1%, so only small spin-dependent post-adiabatic corrections are needed.

  2. 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.

  3. Improved post-Newtonian waveform model for inspiralling precessing-eccentric compact binaries

    gr-qc 2025-02 conditional novelty 6.0 of 10

    The paper presents pyEFPE, a validated and publicly available frequency-domain post-Newtonian waveform model for inspiralling precessing-eccentric compact binaries, with up to about a fifteen-fold speedup.

  4. Post-Newtonian theory-inspired framework for characterizing eccentricity in gravitational waveforms

    gr-qc 2025-02 conditional novelty 5.0 of 10

    A PN-anchored waveform-based eccentricity estimator using envelope fits to the universal eccentric modulation, with an empirically added half-PN term.

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