Mapping eccentricity evolutions between numerical relativity and effective-one-body gravitational waveforms

Abstract

Orbital eccentricity in compact binaries is considered to be a key tracer of their astrophysical origin, and can be inferred from gravitational-wave observations due to its imprint on the emitted signal. For a robust measurement, accurate waveform models are needed. However, ambiguities in the definition of eccentricity can obfuscate the physical meaning and result in seemingly discrepant measurements. In this work we present a suite of 28 new numerical relativity simulations of eccentric, aligned-spin binary black holes with mass ratios between 1 and 6 and initial post-Newtonian eccentricities between 0.05 and 0.3. We then develop a robust pipeline for measuring the eccentricity evolution as a function of frequency from gravitational-wave observables that is applicable even to signals that span at least $\gtrsim 7$ orbits. We assess the reliability of our procedure and quantify its robustness under different assumptions on the data. Using the eccentricity measured at the first apastron, we initialise effective-one-body waveforms and quantify how the precision in the eccentricity measurement, and therefore the choice of the initial conditions, impacts the agreement with the numerical data. We find that even small deviations in the initial eccentricity can lead to non-negligible differences in the phase and amplitude of the waveforms. However, we demonstrate that we can reliably map the eccentricities between the simulation data and analytic models, which is crucial for robustly building eccentric hybrid waveforms, and to improve the accuracy of eccentric waveform models in the strong-field regime.

25 pages, 15 figures, matches published version

References in corpus (109)

• Accurate Evolutions of Orbiting Black-Hole Binaries Without Excision
• Gravitational wave extraction from an inspiraling configuration of merging black holes
• Science Case for the Einstein Telescope
• The first gravitational-wave source from the isolated evolution of two 40-100 Msun stars
• The Eccentric Kozai-Lidov Effect and Its Applications
• The Einstein Toolkit: A Community Computational Infrastructure for Relativistic Astrophysics
• Merging binary black holes formed through chemically homogeneous evolution in short-period stellar binaries
• The SXS Collaboration catalog of binary black hole simulations
• Double Compact Objects II: Cosmological Merger Rates
• Illuminating Black Hole Binary Formation Channels with Spins in Advanced LIGO
• Eccentric Black Hole Mergers Forming in Globular Clusters
• One Channel to Rule Them All? Constraining the Origins of Binary Black Holes using Multiple Formation Pathways
• Merging black hole binaries: the effects of progenitor's metallicity, mass-loss rate and Eddington factor
• Distinguishing Spin-Aligned and Isotropic Black Hole Populations With Gravitational Waves
• Eccentric Black Hole Mergers in Dense Star Clusters: The Role of Binary-Binary Encounters
• Towards models of gravitational waveforms from generic binaries: A simple approximate mapping between precessing and non-precessing inspiral signals
• Spin orientations of merging black holes formed from the evolution of stellar binaries
• Hierarchical data-driven approach to fitting numerical relativity data for nonprecessing binary black holes with an application to final spin and radiated energy
• The cosmic merger rate of stellar black hole binaries from the Illustris simulation
• Post-Circular Expansion of Eccentric Binary Inspirals: Fourier-Domain Waveforms in the Stationary Phase Approximation
• Notes on the integration of numerical relativity waveforms
• A new effective-one-body description of coalescing nonprecessing spinning black-hole binaries
• High-spin binary black hole mergers
• A waveform model for eccentric binary black hole based on effective-one-body-numerical-relativity (EOBNR) formalism
• A faithful analytical effective one body waveform model for spin-aligned, moderately eccentric, coalescing black hole binaries
• Conservative Dynamics of Binary Systems at Fourth Post-Minkowskian Order in the Large-eccentricity Expansion
• Constraining Formation Models of Binary Black Holes with Gravitational-Wave Observations
• Distinguishing Between Formation Channels for Binary Black Holes with LISA
• Eccentric, nonspinning, inspiral, Gaussian-process merger approximant for the detection and characterization of eccentric binary black hole mergers
• Novel approach to binary dynamics: application to the fifth post-Newtonian level
• High accuracy binary black hole simulations with an extended wave zone
• A multipolar effective one body waveform model for spin-aligned black hole binaries
• Conservative dynamics of two-body systems at the fourth post-Newtonian approximation of general relativity
• Effective one body multipolar waveform model for spin-aligned, quasi-circular, eccentric, hyperbolic black hole binaries
• GW190521 as a dynamical capture of two nonspinning black holes
• Resonant-plane locking and spin alignment in stellar-mass black-hole binaries: a diagnostic of compact-binary formation
• Effective-one-body multipolar waveforms for eccentric binary black holes with non-precessing spins
• Error-analysis and comparison to analytical models of numerical waveforms produced by the NRAR Collaboration
• Gravitational radiation reaction along general orbits in the effective one-body formalism
• Third post-Newtonian angular momentum flux and the secular evolution of orbital elements for inspiralling compact binaries in quasi-elliptical orbits
• Eccentric Black Hole Mergers in Active Galactic Nuclei
• Measuring eccentricity in binary black hole inspirals with gravitational waves
• Binary dynamics at the fifth and fifth-and-a-half post-Newtonian orders
• Introduction to dynamical horizons in numerical relativity
• An eccentric binary black hole inspiral-merger-ringdown gravitational waveform model from numerical relativity and post-Newtonian theory
• Inspiralling compact binaries in quasi-elliptical orbits: The complete third post-Newtonian energy flux
• Eccentric binary black hole surrogate models for the gravitational waveform and remnant properties: comparable mass, nonspinning case
• Constraining stellar binary black hole formation scenarios with eLISA eccentricity measurements
• Extrapolating gravitational-wave data from numerical simulations
• Comparisons of eccentric binary black hole simulations with post-Newtonian models
• Four eccentric mergers increase the evidence that LIGO--Virgo--KAGRA's binary black holes form dynamically
• Phasing of gravitational waves from inspiralling eccentric binaries at the third-and-a-half post-Newtonian order
• Frequency and time domain inspiral templates for comparable mass compact binaries in eccentric orbits
• Foundations of an effective-one-body model for coalescing binaries on eccentric orbits
• Multiband gravitational-wave event rates and stellar physics
• Tail effects in the third post-Newtonian gravitational wave energy flux of compact binaries in quasi-elliptical orbits
• A Multipolar Effective One Body Model for Non-Spinning Black Hole Binaries
• Gravitational scattering of two black holes at the fourth post-Newtonian approximation
• Validating the Effective-One-Body Numerical-Relativity Waveform Models for Spin-aligned Binary Black Holes along Eccentric Orbits
• Effective-one-body waveforms from dynamical captures in black hole binaries
• Binary black hole mergers: formation and populations
• A 3PN Fourier Domain Waveform for Non-Spinning Binaries with Moderate Eccentricity
• Radiation-reaction force and multipolar waveforms for eccentric, spin-aligned binaries in the effective-one-body formalism
• Three-Dimensional General-Relativistic Hydrodynamic Simulations of Binary Neutron Star Coalescence and Stellar Collapse with Multipatch Grids
• Rush the inspiral: efficient Effective One Body time-domain gravitational waveforms
• Measuring orbital eccentricity and periastron advance in quasi-circular black hole simulations
• Fourier domain gravitational waveforms for precessing eccentric binaries
• Third post-Newtonian gravitational waveforms for compact binary systems in general orbits: Instantaneous terms
• A first survey of spinning eccentric black hole mergers: Numerical relativity simulations, hybrid waveforms, and parameter estimation
• Effective one-body model for extreme-mass-ratio spinning binaries on eccentric equatorial orbits: testing radiation reaction and waveform
• Defining eccentricity for gravitational wave astronomy
• The fifth-order post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach
• Black Hole Excision with Multiple Grid Patches
• Perturbative extraction of gravitational waveforms generated with Numerical Relativity
• Analytic self-force calculations in the post-Newtonian regime: eccentric orbits on a Schwarzschild background
• Gravitational-wave amplitudes for compact binaries in eccentric orbits at the third post-Newtonian order: Tail contributions and post-adiabatic corrections
• Gravitational-wave amplitudes for compact binaries in eccentric orbits at the third post-Newtonian order: Memory contributions
• Eccentric binary black holes: Comparing numerical relativity and small mass-ratio perturbation theory
• Generalized quasi-Keplerian solution for eccentric, non-spinning compact binaries at 4PN order and the associated IMR waveform
• Inferring eccentricity evolution from observations of coalescing binary black holes
• New Avenue for Accurate Analytical Waveforms and Fluxes for Eccentric Compact Binaries
• Pathways for producing binary black holes with large misaligned spins in the isolated formation channel
• A Rosetta Stone for eccentric gravitational waveform models
• Spin effects in gravitational waveforms and fluxes for binaries on eccentric orbits to the third post-Newtonian order
• A surrogate model for gravitational waveforms of spin-aligned binary black holes with eccentricities
• Validity of common modelling approximations for precessing binary black holes with higher-order modes
• An efficient iterative method to reduce eccentricity in numerical-relativity simulations of compact binary inspiral
• The most powerful astrophysical events: Gravitational-wave peak luminosity of binary black holes as predicted by numerical relativity
• Eccentric-orbit EMRI gravitational wave energy fluxes to 7PN order
• Spin-orbit precession along eccentric orbits for extreme mass ratio black hole binaries and its effective-one-body transcription
• Unveiling the merger structure of black hole binaries in generic planar orbits
• The Eccentric Behavior of Inspiraling Compact Binaries
• High accuracy post-Newtonian and numerical relativity comparisons involving higher modes for eccentric binary black holes and a dominant mode eccentric inspiral-merger-ringdown model
• Effective-One-Body Numerical-Relativity waveform model for Eccentric spin-precessing binary black hole coalescence
• Simple procedures to reduce eccentricity of binary black hole simulations
• Archival searches for stellar-mass binary black holes in LISA
• Hereditary Effects in Eccentric Compact Binary Inspirals to Third Post-Newtonian Order
• Effective-one-body waveforms for extreme-mass-ratio binaries: Consistency with second-order gravitational self-force quasicircular results and extension to nonprecessing spins and eccentricity
• Full-analytic frequency-domain 1pN-accurate gravitational wave forms from eccentric compact binaries
• Analytic post-Newtonian expansion of the energy and angular momentum radiated to infinity by eccentric-orbit non-spinning extreme-mass-ratio inspirals to 19PN
• Upgraded waveform model of eccentric binary black hole based on effective-one-body-numerical-relativity for spin-aligned binary black holes
• Resolving the eccentricity of stellar mass binary black holes with next generation ground-based gravitational wave detectors
• Spin effects in Spherical Harmonic Modes of Gravitational Waves from Eccentric Compact Binary Inspirals
• Combining Post-Circular and Padé approximations to compute Fourier domain templates for eccentric inspirals
• Eccentric Binary Neutron Star Search Prospects for Cosmic Explorer
• Amplification of superkicks in black-hole binaries through orbital eccentricity
• Numerical relativity higher order gravitational waveforms of eccentric, spinning, non-precessing binary black hole mergers
• Consistent eccentricities for gravitational wave astronomy: Resolving discrepancies between astrophysical simulations and waveform models
• Conservative (failed)-tail effects at the fifth post-Newtonian order

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• The Science of the Einstein Telescope
• Accurate waveforms for eccentric, aligned-spin binary black holes: The multipolar effective-one-body model SEOBNRv5EHM
• Time-domain phenomenological multipolar waveforms for aligned-spin binary black holes in elliptical orbits
• A geometric template bank for the detection of spinning low-mass compact binaries with moderate orbital eccentricity
• Strong Field Scattering of Black Holes: Assessing Resummation Strategies
• Data-driven extraction, phenomenology and modeling of eccentric harmonics in binary black hole merger waveforms
• Post-Newtonian theory-inspired framework for characterizing eccentricity in gravitational waveforms