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Faithful effective-one-body waveform of small-mass-ratio coalescing black hole binaries: the eccentric, nonspinning, case

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arxiv 2305.19336 v2 pith:ZVNRDKE7 submitted 2023-05-30 gr-qc

Simone Albanesi , Sebastiano Bernuzzi , Thibault Damour , Alessandro Nagar , Andrea Placidi This is my paper · ORCID
classification gr-qc
keywords waveformcasecorrectionseccentricmodelringdownanalyticalbinaries
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abstract

We present a new effective-one-body (EOB) waveform for eccentric, nonspinning, binaries in the extreme mass ratio limit, with initial eccentricities up to $0.95$. The EOB analytical waveform, that includes noncircular corrections up to second post-Newtonian order, is completed by a phenomenological ringdown model that is informed by Regge-Wheeler-Zerilli (RWZ) type waveforms generated by a point-particle source. This model notably includes the beating between positive and negative frequency quasi-normal-modes (QNMs). We analyze various prescriptions to faithfully complete the analytical EOB waveform in the transition from plunge to merger. In particular, we systematically explore the effect of: (i) the generic Newtonian prefactor; (ii) next-to-quasi-circular (NQC) corrections to amplitude and phase; (iii) the point were NQC corrections are determined; (iv) the ringdown attachment point. This yields EOB/RWZ quadrupolar phase differences through merger and ringdown $\lesssim 0.01$~rad for the quasi-circular case and $\lesssim 0.05$~rad for the eccentric case. Higher modes are also modeled up to the $\ell=m=5$ multipole. We finally discuss the excitation of the QNMs and present a heuristic model to motivate it in correlation with the presence of a point-particle source.

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Cited by 8 Pith papers

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

  1. Merging black holes with Cauchy-characteristic matching: Computation of late-time tails

    gr-qc 2024-12 conditional novelty 8.0 of 10

    First fully nonlinear Cauchy-characteristic matching simulations of binary black hole mergers are stable and accurate, and they expose late-time tails with decay exponents near -3.5 to -3.8.

  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. Accurate waveforms for eccentric, aligned-spin binary black holes: The multipolar effective-one-body model SEOBNRv5EHM

    gr-qc 2024-12 conditional novelty 7.0 of 10

    SEOBNRv5EHM, a new effective-one-body waveform model with third-post-Newtonian eccentricity corrections, reaches a median 0.02% mismatch against eccentric numerical-relativity simulations, about an order of magnitude ...

  4. Approach to the separatrix with eccentric orbits

    gr-qc 2024-12 conditional novelty 7.0 of 10

    The adiabatic inspiral near the separatrix for eccentric orbits is solved analytically, with the Lambert W_{-1} function controlling the late-time decay of the distance to the separatrix.

  5. Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay

    gr-qc 2026-08 conditional novelty 6.0 of 10

    Homothetic hyperboloidal coordinates give semilinear wave tails the same exponential decay rate at every compactified radius, removing the late-time resolution bottleneck.

  6. 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.

  7. 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.

  8. Can We Detect Deviations from Einstein's Gravity in Black Hole Ringdowns?

    gr-qc 2024-11 conditional novelty 4.0 of 10

    Higher-derivative corrections to black hole ringdown spectra and quadratic modes are either absent or suppressed below detectability once causality is enforced, leaving Einstein's gravity as the sole observable description.

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