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EFPE: Efficient fully precessing eccentric gravitational waveforms for binaries with long inspirals

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arxiv 2106.10291 v1 pith:DUZFVPHB submitted 2021-06-18 gr-qc astro-ph.HE

classification gr-qcastro-ph.HE
keywords precessionbinariesequationswaveformscycleseccentricimprovedlasting
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In this paper, we derive a set of equations of motions for binaries on eccentric orbits undergoing spin-induced precession that can efficiently be integrated on the radiation-reaction timescale. We find a family of solutions with a computation cost improved by a factor $10$ - $50$ down to $\sim 10$ ms per waveform evaluation compared to waveforms obtained by directly integrating the precession equations, that maintain a mismatch of the order $10^{-4}$ - $10^{-6}$ for waveforms lasting a million orbital cycles and a thousand spin-induced precession cycles. We express it in terms of parameters that make the solution regular in the equal-mass limit, thus bypassing a problem of previous similar solutions. We point to ways in which the solution presented in this paper can be perturbed to take into account effects such as general quadrupole momenta and post-Newtonian corrections to the precession equations. This new waveform, with its improved efficiency and its accuracy, makes possible Bayesian parameter estimation using the full spin and eccentricity parameter volume for long lasting inspiralling signals such as stellar-origin black hole binaries observed by LISA.

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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. High-Post-Newtonian-Order Dynamics Induced by Tail-of-Tail Interactions: The Non-Geodesic Terms

    gr-qc 2026-08 conditional novelty 7.0 of 10

    The authors compute tail-of-tail contributions to the effective-one-body Q potential through p_r^12 and derive new second-order self-force redshift predictions for eccentric binaries.

  2. Impact of numerical-relativity waveform calibration on parametrized post-Einsteinian tests

    gr-qc 2026-03 accept novelty 6.0 of 10

    NR late-inspiral calibration systematics in IMRPhenomD produce false ppE GR violations at O5 SNRs ≳60; an uncertainty-aware baseline restores consistency with GR up to SNR 330.

  3. Chase Orbits, not Time: A Scalable Paradigm for Long-Duration Eccentric Gravitational-Wave Surrogates

    gr-qc 2025-09 conditional novelty 6.0 of 10

    Eccentric inspiral waveforms are modeled against mean anomaly rather than time, yielding an order-of-magnitude compression and a 2.77e6 M surrogate that is ~20x faster to evaluate.

  4. Coincident morphological transitions in precessing black-hole binaries

    gr-qc 2025-08 conditional novelty 6.0 of 10

    Every coincident double or triple spin-morphology transition in post-Newtonian black-hole binaries is derived analytically, giving closed-form radii (rwide, rUD±) and parameter conditions for five allowed cases and on...

  5. 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.

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