Aspects of multimode Kerr ring-down fitting

Abstract

A black hole that is ringing down to quiescence emits gravitational radiation of a very specific nature that can inform us of its mass and angular momentum, test the no-hair theorem for black holes, and perhaps even give us additional information about its progenitor system. This paper provides a detailed description of, and investigation into the behavior of, multimode fitting of the ring-down signal provided by numerical simulations. We find that there are at least three well-motivated multimode fitting schemes that can be used. These methods are tested against a specific numerical simulation to allow for comparison to prior work.

arXiv comment31 pages, 48 figures, and 16 tables; added references in introduction; Fixed typos, errors in Eqs. 45-47, updated reference information; Fixed index error in Eq. 12

References in corpus (25)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Tests of general relativity with GW150914
• On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA
• Inspiral, merger and ring-down of equal-mass black-hole binaries
• The SXS Collaboration catalog of binary black hole simulations
• A catalog of 174 binary black-hole simulations for gravitational-wave astronomy
• Testing the no-hair theorem with GW150914
• Surrogate model of hybridized numerical relativity binary black hole waveforms
• Black hole ringdown: the importance of overtones
• Validating the effective-one-body model of spinning, precessing binary black holes against numerical relativity
• Modeling Ringdown: Beyond the Fundamental Quasi-Normal Modes
• Observational Black Hole Spectroscopy: A time-domain multimode analysis of GW150914
• Black-hole hair loss: learning about binary progenitors from ringdown signals
• Black Hole Spectroscopy: Systematic Errors and Ringdown Energy Estimates
• Gravitational perturbations of the Kerr geometry: High-accuracy study
• Transformations of asymptotic gravitational-wave data
• Is black-hole ringdown a memory of its progenitor?
• Empirical tests of the black hole no-hair conjecture using gravitational-wave observations
• On choosing the start time of binary black hole ringdown
• Multi-mode black hole spectroscopy
• Exciting black hole modes via misaligned coalescences: II. The mode content of late-time coalescence waveforms
• Learning about black hole binaries from their ringdown spectra
• Challenges testing the no-hair theorem with gravitational waves
• Spectral Cauchy Characteristic Extraction of strain, news and gravitational radiation flux
• New Generic Ringdown Frequencies at the Birth of a Kerr Black Hole

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• Nonlinearities in Black Hole Ringdowns
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• Analysis of Ringdown Overtones in GW150914
• Agnostic black hole spectroscopy: Quasinormal mode content of numerical relativity waveforms and limits of validity of linear perturbation theory
• Spectroscopy of binary black hole ringdown using overtones and angular modes
• Universal Properties of Light Rings for Stationary Axisymmetric Spacetimes
• Nonlinear effects in the black hole ringdown: absorption-induced mode excitation
• Extracting linear and nonlinear quasinormal modes from black hole merger simulations
• Searching for a Ringdown Overtone in GW150914
• Quasinormal-mode filters: a new approach to analyze the gravitational-wave ringdown of binary black-hole mergers
• Generation and propagation of nonlinear quasi-normal modes of a Schwarzschild black hole
• Importance of mirror modes in binary black hole ringdown waveform
• Role of black hole quasinormal mode overtones for ringdown analysis
• High Precision Ringdown Modeling: Multimode Fits and BMS Frames
• High-overtone fits to numerical relativity ringdowns: beyond the dismissed n=8 special tone
• Using rational filters to uncover the first ringdown overtone in GW150914
• The SXS Collaboration's third catalog of binary black hole simulations
• Quasinormal modes and their overtones at the common horizon in a binary black hole merger
• Modelling the Ringdown from Precessing Black Hole Binaries
• Thermal Ringdown of a Kerr Black Hole: Overtone Excitation, Fermi-Dirac Statistics and Greybody Factor
• Bayesian Metric Reconstruction with Gravitational Wave Observations
• Nonlinear quasinormal mode detectability with next-generation gravitational wave detectors
• Angular emission patterns of remnant black holes
• Landscape of stellar-mass black-hole spectroscopy with third-generation gravitational-wave detectors
• Theory-agnostic Reconstruction of Potential and Couplings from Quasi-Normal Modes
• Constraining modifications of black hole perturbation potentials near the light ring with quasinormal modes
• Frequency-Domain Analysis of Black-Hole Ringdowns
• Parametrized Black Hole Quasinormal Ringdown Formalism for Higher Overtones
• Rotating tensor-multiscalar black holes with two scalars
• Striking the right tone: toward a self-consistent framework for measuring black hole ringdowns
• High-Precision Ringdown Surrogate Model for Non-Precessing Binary Black Holes
• On Black Hole Area Quantization and Echoes
• Iterative extraction of overtones from black hole ringdown
• Probabilistic Model for the Gravitational Wave Signal from Merging Black Holes
• Linear vs. nonlinear modeling of black hole ringdowns
• Fundamental Tone and Overtones of Quasinormal Modes in Ringdown Gravitational Waves: A Detailed Study in Black Hole Perturbation
• Quantifying Systematic Biases in Black Hole Spectroscopy
• Bounds on tidal charges from gravitational-wave ringdown observations
• Robustness of extracting quasinormal mode information from black hole merger simulations
• Resonance in black hole ringdown: Benchmarking quasinormal mode excitation and extraction
• Quasinormal modes from numerical relativity with Bayesian inference
• Uncovering subdominant multipole asymmetries in binary black-hole mergers
• Probing higher curvature gravity via ringdown with overtones
• On the ease of excitation of black hole ringing: Quantifying the importance of overtones by the excitation factors