Ringdown amplitudes of nonspinning eccentric binaries

Abstract

Closed-form expressions for the ringdown complex amplitudes of nonspinning unequal-mass binaries in arbitrarily eccentric orbits are presented. They are built upon 237 numerical simulations contained within the RIT catalog, through the parameterisation introduced in [Phys. Rev. Lett. 132, 101401]. Global fits for the complex amplitudes, associated to linear quasinormal mode frequencies of the dominant ringdown modes, are obtained in a factorised form immediately applicable to any existing quasi-circular model. Similarly to merger amplitudes, ringdown ones increase by more than 50% compared to the circular case for high impact parameters (medium eccentricities), while strongly suppressed in the low impact parameter (highly eccentric) limit. Such reduction can be explained by a transition between an "orbital-type" and an "infall-type" dynamics. The amplitudes (phases) fits accuracy lies around a few percent (deciradians) for the majority of the dataset, comparable to the accuracy of current state-of-the-art quasi-circular ringdown models, and well within current statistical errors of current LIGO-Virgo-Kagra ringdown observations. These expressions constitute another building block towards the construction of complete general-relativistic inspiral-merger-ringdown semi-analytical templates, and allow to extend numerically-informed spectroscopic analyses beyond the circular limit. Such generalisations are key to achieve accurate inference of compact binaries astrophysical properties, and tame astrophysical systematics within observational investigations of strong-field general relativistic dynamics.

20 pages, 11 figures | v3: published version, minor edits

References in corpus (18)

• Array Programming with NumPy
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• Advanced LIGO
• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• An improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors
• Inspiral, merger and ring-down of equal-mass black-hole binaries
• Inspiral, merger and ringdown of unequal mass black hole binaries: a multipolar analysis
• Quasinormal ringing of Kerr black holes: The excitation factors
• Eccentric binary black hole surrogate models for the gravitational waveform and remnant properties: comparable mass, nonspinning case
• Circularization and Final Spin in Eccentric Binary Black Hole Inspirals
• Eccentric binary black-hole mergers: The transition from inspiral to plunge in general relativity
• Mixing of spherical and spheroidal modes in perturbed Kerr black holes
• qnm: A Python package for calculating Kerr quasinormal modes, separation constants, and spherical-spheroidal mixing coefficients
• A new analytic representation of the ringdown waveform of coalescing spinning black hole binaries
• Inspiral-inherited ringdown tails
• Perturbations of the Vaidya metric in the frequency domain: Quasi-normal modes and tidal response
• Phenomenology and origin of late-time tails in eccentric binary black hole mergers
• Kilohertz Gravitational Waves from Binary Neutron Star Mergers: Inference of Postmerger Signals with the Einstein Telescope

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• Parametrized spin-precessing inspiral-merger-ringdown waveform model for tests of general relativity
• Ringdown mode amplitudes of precessing binary black holes
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• Peaking into the abyss: Characterizing the merger of equatorial-eccentric-geodesic plunges in rotating black holes
• Biased parameter inference of eccentric, spin-precessing binary black holes
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