High Precision Ringdown Modeling: Multimode Fits and BMS Frames

Abstract

Quasi-normal mode (QNM) modeling is an invaluable tool for characterizing remnant black holes, studying strong gravity, and testing GR. Only recently have QNM studies begun to focus on multimode fitting to numerical relativity (NR) strain waveforms. As GW observatories become even more sensitive they will be able to resolve higher-order modes. Consequently, multimode QNM fits will be critically important, and in turn require a more thorough treatment of the asymptotic frame at ${\mathcal{I}}^{+}$. The first main result of this work is a method for systematically fitting a QNM model containing many modes to a numerical waveform produced using Cauchy-characteristic extraction (CCE), an extraction technique which is known to resolve memory effects. We choose the modes to model based on their power contribution to the residual between numerical and model waveforms. We show that the all-mode strain mismatch improves by a factor of $\sim 10^5$ when using multimode fitting as opposed to only fitting the $(2,\pm 2,n)$ modes. Our most significant result addresses a critical point that has been overlooked in the QNM literature: the importance of matching the Bondi-van der Burg-Metzner-Sachs (BMS) frame of the numerical waveform to that of the QNM model. We show that by mapping the numerical waveforms$-$which exhibit the memory effect$-$to a BMS frame known as the super rest frame, there is an improvement of $\sim 10^5$ in the all-mode strain mismatch compared to using a strain waveform whose BMS frame is not fixed. Furthermore, we find that by mapping CCE waveforms to the super rest frame, we can obtain all-mode mismatches that are, on average, a factor of $\sim 4$ better than using the publicly-available extrapolated waveforms. We illustrate the effectiveness of these modeling enhancements by applying them to families of waveforms produced by NR and comparing our results to previous QNM studies.

arXiv comment17 + 2 pages, 11 figures, 2 tables

References in corpus (50)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Array Programming with NumPy
• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Evolution of Binary Black Hole Spacetimes
• Science Case for the Einstein Telescope
• On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA
• Black holes, gravitational waves and fundamental physics: a roadmap
• The SXS Collaboration catalog of binary black hole simulations
• Testing the no-hair theorem with GW150914
• Prospects for Fundamental Physics with LISA
• Surrogate model of hybridized numerical relativity binary black hole waveforms
• Black hole ringdown: the importance of overtones
• Conserved charges of the extended Bondi-Metzner-Sachs algebra
• Modeling Ringdown: Beyond the Fundamental Quasi-Normal Modes
• Georgia Tech Catalog of Gravitational Waveforms
• Gravitational perturbations of the Kerr geometry: High-accuracy study
• Extrapolating gravitational-wave data from numerical simulations
• Transformations of asymptotic gravitational-wave data
• The RIT binary black hole simulations catalog
• Gauge invariant perturbations of Schwarzschild black holes in horizon-penetrating coordinates
• Angular velocity of gravitational radiation from precessing binaries and the corotating frame
• Gravitational-wave detection rates for compact binaries formed in isolation: LIGO/Virgo O3 and beyond
• 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
• Computation of Displacement and Spin Gravitational Memory in Numerical Relativity
• On an Expansion Method for Black Hole Quasinormal Modes and Regge Poles
• Adding Gravitational Memory to Waveform Catalogs using BMS Balance Laws
• Improved Cauchy-characteristic evolution system for high-precision numerical relativity waveforms
• The Third RIT binary black hole simulations catalog
• Importance of mirror modes in binary black hole ringdown waveform
• Multi-mode black hole spectroscopy
• Exciting black hole modes via misaligned coalescences: II. The mode content of late-time coalescence waveforms
• Aspects of multimode Kerr ring-down fitting
• Fixing the BMS Frame of Numerical Relativity Waveforms
• High-overtone fits to numerical relativity ringdowns: beyond the dismissed n=8 special tone
• Modelling the Ringdown from Precessing Black Hole Binaries
• Persistent gravitational wave observables: Curve deviation in asymptotically flat spacetimes
• On modeling for Kerr black holes: Basis learning, QNM frequencies, and spherical-spheroidal mixing coefficients
• Angular emission patterns of remnant black holes
• Extending Gravitational Wave Extraction Using Weyl Characteristic Fields
• Compact Binary Waveform Center-of-Mass Corrections
• How should spin-weighted spherical functions be defined?
• Comparing Remnant Properties from Horizon Data and Asymptotic Data in Numerical Relativity
• Rest Frame System for Asymptotically Flat Spacetimes
• Analyzing black-hole ringdowns
• Gravitational-wave modes from precessing black-hole binaries
• General existence proof for rest frame systems in asymptotically flat space-time
• Overtones, mirror modes, and mode-mixing in binary black hole mergers
• Getting Ready for LISA: The Data, Support and Preparation Needed to Maximize US Participation in Space-Based Gravitational Wave Science

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• High-Precision Ringdown Surrogate Model for Non-Precessing Binary Black Holes
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• Quasinormal mode content of binary black hole ringdowns
• Do black holes remember what they are made of?
• Quasinormal modes from numerical relativity with Bayesian inference
• Uncovering subdominant multipole asymmetries in binary black-hole mergers
• AthenaK simulations of the binary black hole merger GW150914
• Ringdown mode amplitudes of charged binary black holes