Decoding mode-mixing in black-hole merger ringdown

Abstract

Optimal extraction of information from gravitational-wave observations of binary black-hole coalescences requires detailed knowledge of the waveforms. Current approaches for representing waveform information are based on spin-weighted spherical harmonic decomposition. Higher-order harmonic modes carrying a few percent of the total power output near merger can supply information critical to determining intrinsic and extrinsic parameters of the binary. One obstacle to constructing a full multi-mode template of merger waveforms is the apparently complicated behavior of some of these modes; instead of settling down to a simple quasinormal frequency with decaying amplitude, some $|m|\ne \ell$ modes show periodic bumps characteristic of mode-mixing. We analyze the strongest of these modes -- the anomalous $(3,2)$ harmonic mode -- measured in a set of binary black-hole merger waveform simulations, and show that to leading order, they are due to a mismatch between the spherical harmonic basis used for extraction in 3D numerical relativity simulations, and the spheroidal harmonics adapted to the perturbation theory of Kerr black holes. Other causes of mode-mixing arising from gauge ambiguities and physical properties of the quasinormal ringdown modes are also considered and found to be small for the waveforms studied here.

15 pages, 10 figures, 2 tables; new version has improved Figs. 1-3, consistent labelling of simulations between Tables I & II, additional/corrected references, and extra hyphens

References in corpus (24)

• Inspiral, merger and ring-down of equal-mass black-hole binaries
• Inspiral, merger and ringdown of unequal mass black hole binaries: a multipolar analysis
• High-accuracy waveforms for binary black hole inspiral, merger, and ringdown
• Towards models of gravitational waveforms from generic binaries: A simple approximate mapping between precessing and non-precessing inspiral signals
• Binary black hole merger dynamics and waveforms
• How to move a black hole without excision: gauge conditions for the numerical evolution of a moving puncture
• On the final spin from the coalescence of two black holes
• Estimating the final spin of a binary black hole coalescence
• Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
• High-spin binary black hole mergers
• The final mass and spin of black hole mergers
• The Hyperfine Einstein-Infeld-Hoffmann Potential
• Effective-one-body waveforms calibrated to numerical relativity simulations: coalescence of non-precessing, spinning, equal-mass black holes
• Anatomy of the binary black hole recoil: A multipolar analysis
• Comparisons of binary black hole merger waveforms
• Binary black hole mergers: large kicks for generic spin orientations
• Is black-hole ringdown a memory of its progenitor?
• Comparison of Numerical and Post-Newtonian Waveforms for Generic Precessing Black-Hole Binaries
• Reducing eccentricity in black-hole binary evolutions with initial parameters from post-Newtonian inspiral
• The spin expansion for binary black hole merger: new predictions and future directions
• Multipolar analysis of spinning binaries
• Higher harmonics increase LISA's mass reach for supermassive black holes
• LISA parameter estimation of supermassive black holes
• One dimensional description of the gravitational perturbation in a Kerr background

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• IMRPhenomXHM: A multi-mode frequency-domain model for the gravitational wave signal from non-precessing black-hole binaries
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• Agnostic black hole spectroscopy: Quasinormal mode content of numerical relativity waveforms and limits of validity of linear perturbation theory
• Black Hole Spectroscopy: Systematic Errors and Ringdown Energy Estimates
• Tests of General Relativity with GWTC-3
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• The RIT binary black hole simulations catalog
• Angular velocity of gravitational radiation from precessing binaries and the corotating frame
• Mixing of spherical and spheroidal modes in perturbed Kerr black holes
• Extracting linear and nonlinear quasinormal modes from black hole merger simulations
• Small mass plunging into a Kerr black hole: Anatomy of the inspiral-merger-ringdown waveforms
• Overtones or higher harmonics? Prospects for testing the no-hair theorem with gravitational wave detections
• Quasinormal-mode filters: a new approach to analyze the gravitational-wave ringdown of binary black-hole mergers
• The Third RIT binary black hole simulations catalog
• Exciting black hole modes via misaligned coalescences: II. The mode content of late-time coalescence waveforms
• Modeling ringdown II: non-precessing binary black holes
• LISA parameter estimation and source localization with higher harmonics of the ringdown
• Spin dependence of black hole ringdown nonlinearities
• Accurate waveforms for eccentric, aligned-spin binary black holes: The multipolar effective-one-body model SEOBNRv5EHM
• Analytical Black-Hole Binary Merger Waveforms
• Accelerating the evaluation of inspiral-merger-ringdown waveforms with adapted grids
• Comparison of post-Newtonian mode amplitudes with numerical relativity simulations of binary black holes
• On modeling for Kerr black holes: Basis learning, QNM frequencies, and spherical-spheroidal mixing coefficients
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• An analytic family of post-merger template waveforms
• Numerical relativity in spherical coordinates with the Einstein Toolkit
• On the detectability of higher harmonics with LISA
• Targeted numerical simulations of binary black holes for GW170104
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• Including mode mixing in a higher-multipole model for gravitational waveforms from nonspinning black-hole binaries
• Adding equatorial-asymmetric effects for spin-precessing binaries into the SEOBNRv5PHM waveform model
• Parametrized spin-precessing inspiral-merger-ringdown waveform model for tests of general relativity
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• Black hole spectroscopy for KAGRA future prospect in O5
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• Persistence of post-Newtonian amplitude structure in binary black hole mergers