Effective-one-body waveforms calibrated to numerical relativity simulations: coalescence of non-spinning, equal-mass black holes

Abstract

We calibrate the effective-one-body (EOB) model to an accurate numerical simulation of an equal-mass, non-spinning binary black-hole coalescence produced by the Caltech-Cornell collaboration. Aligning the EOB and numerical waveforms at low frequency over a time interval of ~1000M, and taking into account the uncertainties in the numerical simulation, we investigate the significance and degeneracy of the EOB adjustable parameters during inspiral, plunge and merger, and determine the minimum number of EOB adjustable parameters that achieves phase and amplitude agreements on the order of the numerical error. We find that phase and fractional amplitude differences between the numerical and EOB values of the dominant gravitational wave mode h_{22} can be reduced to 0.02 radians and 2%, respectively, until a time 26 M before merger, and to 0.1 radians and 10%, at a time 16M after merger (during ringdown), respectively. Using LIGO, Enhanced LIGO and Advanced LIGO noise curves, we find that the overlap between the EOB and the numerical h_{22}, maximized only over the initial phase and time of arrival, is larger than 0.999 for equal-mass binary black holes with total mass 30-150 Msun. In addition to the leading gravitational mode (2,2), we compare the dominant subleading modes (4,4) and (3,2) and find phase and amplitude differences on the order of the numerical error. We also determine the mass-ratio dependence of one of the EOB adjustable parameters by fitting to numerical {\it inspiral} waveforms for black-hole binaries with mass ratios 2:1 and 3:1. These results improve and extend recent successful attempts aimed at providing gravitational-wave data analysts the best analytical EOB model capable of interpolating accurate numerical simulations.

19 pages, 19 figures. Two improvements to our analytical model: non-quasi-circular correction based on post-Newtonian theory and hybrid comb matching to attach ring-down modes. No substantial modification to any results. Figures and numbers are slightly changed, accordingly. Corrected a few typos and added a few references

References in corpus (55)

• Quasinormal modes of black holes and black branes
• Effective one-body approach to general relativistic two-body dynamics
• On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA
• Transition from inspiral to plunge in binary black hole coalescences
• Observing binary inspiral in gravitational radiation: One interferometer
• Detection, Measurement and Gravitational Radiation
• Coalescence of Two Spinning Black Holes: An Effective One-Body Approach
• Inspiral, merger and ring-down of equal-mass black-hole binaries
• On the determination of the last stable orbit for circular general relativistic binaries at the third post-Newtonian approximation
• A template bank for gravitational waveforms from coalescing binary black holes: non-spinning binaries
• Inspiral, merger and ringdown of unequal mass black hole binaries: a multipolar analysis
• High-accuracy comparison of numerical relativity simulations with post-Newtonian expansions
• Calibration of Moving Puncture Simulations
• Model Waveform Accuracy Standards for Gravitational Wave Data Analysis
• Improved filters for gravitational waves from inspiralling compact binaries
• Phenomenological template family for black-hole coalescence waveforms
• A Comparison of search templates for gravitational waves from binary inspiral
• High-accuracy waveforms for binary black hole inspiral, merger, and ringdown
• Toward faithful templates for non-spinning binary black holes using the effective-one-body approach
• Transition from inspiral to plunge in precessing binaries of spinning black holes
• Improved resummation of post-Newtonian multipolar waveforms from circularized compact binaries
• Higher-order spin effects in the dynamics of compact binaries II. Radiation field
• The third post-Newtonian gravitational wave polarisations and associated spherical harmonic modes for inspiralling compact binaries in quasi-circular orbits
• Faithful Effective-One-Body waveforms of small-mass-ratio coalescing black-hole binaries
• An improved analytical description of inspiralling and coalescing black-hole binaries
• On the final spin from the coalescence of two black holes
• Recoil velocities from equal-mass binary black-hole mergers: a systematic investigation of spin-orbit aligned configurations
• Gravitational Self Force in a Schwarzschild Background and the Effective One Body Formalism
• Effective one body approach to the dynamics of two spinning black holes with next-to-leading order spin-orbit coupling
• Gravitational self-force correction to the innermost stable circular orbit of a Schwarzschild black hole
• Gauge-invariant Non-spherical Metric Perturbations of Schwarzschild Black-Hole Spacetimes
• Hamiltonian of a spinning test-particle in curved spacetime
• Where post-Newtonian and numerical-relativity waveforms meet
• Comparing Effective-One-Body gravitational waveforms to accurate numerical data
• A data-analysis driven comparison of analytic and numerical coalescing binary waveforms: nonspinning case
• Using Full Information When Computing Modes of Post-Newtonian Waveforms From Inspiralling Compact Binaries in Circular Orbit
• Accurate Effective-One-Body waveforms of inspiralling and coalescing black-hole binaries
• Consistency of post-Newtonian waveforms with numerical relativity
• High-accuracy numerical simulation of black-hole binaries: Computation of the gravitational-wave energy flux and comparisons with post-Newtonian approximants
• Gravitational Recoil during Binary Black Hole Coalescence using the Effective One Body Approach
• Reducing phase error in long numerical binary black hole evolutions with sixth order finite differencing
• Faithful Effective-One-Body waveforms of equal-mass coalescing black-hole binaries
• Anatomy of the binary black hole recoil: A multipolar analysis
• Mergers of nonspinning black-hole binaries: Gravitational radiation characteristics
• Gauge invariant perturbations of Schwarzschild black holes in horizon-penetrating coordinates
• Highly damped quasinormal modes of Kerr black holes
• A physical template family for gravitational waves from precessing binaries of spinning compact objects: Application to single-spin binaries
• Binary black hole late inspiral: Simulations for gravitational wave observations
• Modeling Extreme Mass Ratio Inspirals within the Effective-One-Body Approach
• Matched Filtering of Numerical Relativity Templates of Spinning Binary Black Holes
• Gravitational waves from black hole binary inspiral and merger: The span of third post-Newtonian effective-one-body templates
• High accuracy simulations of black hole binaries:spins anti-aligned with the orbital angular momentum
• Final spin of a coalescing black-hole binary: an Effective-One-Body approach
• Post-Newtonian expansion of gravitational waves from a particle in circular orbit around a Schwarzschild black hole
• Implementation of higher-order absorbing boundary conditions for the Einstein equations

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• Accuracy and precision of gravitational-wave models of inspiraling neutron star -- black hole binaries with spin: comparison with numerical relativity in the low-frequency regime
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• Suitability of post-Newtonian/numerical-relativity hybrid waveforms for gravitational wave detectors
• Search for Gravitational Waves from Intermediate Mass Binary Black Holes
• Comparing Gravitational Waveform Extrapolation to Cauchy-Characteristic Extraction in Binary Black Hole Simulations
• Spherical harmonic modes of 5.5 post-Newtonian gravitational wave polarizations and associated factorized resummed waveforms for a particle in circular orbit around a Schwarzschild black hol
• Gravitational wave emission from binary supermassive black holes
• Black holes in a box: towards the numerical evolution of black holes in AdS
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