Simple procedures to reduce eccentricity of binary black hole simulations

Abstract

We present simple procedures to construct quasi-circular initial data for numerical evolutions of binary black hole spacetimes. Our method consists of using Post-Newtonian theory in three ways: first to provide an initial guess for the initial momenta at 3.5PN order that implies low residual eccentricity, second to measure the resulting eccentricity, and third to calculate corrections to the momenta or initial separation which further reduce the eccentricity. Regarding the initial guess, we compare numerical evolutions in post-Newtonian theory to the post-circular and post-post-circular analytical approximations to quasi-circular data. We discuss a robust fitting procedure to measure eccentricity from numerical simulations using the orbital frequency, and derive from the quasi-Keplerian parametrization at 1PN oder the correction factors for the tangential and radial momentum components required to achieve reduce the measured eccentricity to zero. We first test our procedure integrating PN equations of motion at $3.5$PN where low eccentric initial data is easily obtained, and then apply our method to sets of binary black hole numerical relativity simulations with different mass ratios (q=1,2,...,8), spin configurations and separations. Our set of simulations contains non-spinning, spin-aligned and precessing simulations. We observe that the iterative procedure produces low eccentric simulations with eccentricities of the order (10^{-4}) with only one iteration. The simplicity of the procedure allows to obtain low eccentric NR simulations easily and saving computational resources. Moreover, the analytical PN formulas derived in this paper will be useful to generate eccentric hybrid waveforms.

arXiv commentMatching published version

References in corpus (62)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• Evolution of Binary Black Hole Spacetimes
• Accurate Evolutions of Orbiting Black-Hole Binaries Without Excision
• Effective one-body approach to general relativistic two-body dynamics
• Characterization of the LIGO detectors during their sixth science run
• Gravitational wave extraction from an inspiraling configuration of merging black holes
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• On the Numerical Integration of Einstein's Field Equations
• Frequency-domain gravitational waves from non-precessing black-hole binaries. II. A phenomenological model for the advanced detector era
• Properties of the Binary Black Hole Merger GW150914
• Frequency-domain gravitational waves from non-precessing black-hole binaries. I. New numerical waveforms and anatomy of the signal
• Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors
• An improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors
• The Einstein Toolkit: A Community Computational Infrastructure for Relativistic Astrophysics
• Gauge conditions for long-term numerical black hole evolutions without excision
• A simple construction of initial data for multiple black holes
• Matching post-Newtonian and numerical relativity waveforms: systematic errors and a new phenomenological model for non-precessing black hole binaries
• Inspiral, merger and ring-down of equal-mass black-hole binaries
• New Formalism for Numerical Relativity
• A catalog of 174 binary black-hole simulations for gravitational-wave astronomy
• Calibration of Moving Puncture Simulations
• A single-domain spectral method for black hole puncture data
• Higher-order spin effects in the amplitude and phase of gravitational waveforms emitted by inspiraling compact binaries: Ready-to-use gravitational waveforms
• A Fast Apparent-Horizon Finder for 3-Dimensional Cartesian Grids in Numerical Relativity
• Introduction to Isolated Horizons in Numerical Relativity
• Transition from inspiral to plunge in precessing binaries of spinning black holes
• Faithful Effective-One-Body waveforms of small-mass-ratio coalescing black-hole binaries
• Turduckening black holes: an analytical and computational study
• A Numerical Relativity Waveform Surrogate Model for Generically Precessing Binary Black Hole Mergers
• Reducing orbital eccentricity in binary black hole simulations
• Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
• Georgia Tech Catalog of Gravitational Waveforms
• Notes on the integration of numerical relativity waveforms
• High-spin binary black hole mergers
• Comparing Effective-One-Body gravitational waveforms to accurate numerical data
• Accurate Effective-One-Body waveforms of inspiralling and coalescing black-hole binaries
• Geometry and Regularity of Moving Punctures
• High accuracy binary black hole simulations with an extended wave zone
• Reducing phase error in long numerical binary black hole evolutions with sixth order finite differencing
• Simulations of non-equal mass black hole binaries with spectral methods
• Kranc: a Mathematica application to generate numerical codes for tensorial evolution equations
• Spin-squared Hamiltonian of next-to-leading order gravitational interaction
• The RIT binary black hole simulations catalog
• The next-to-leading order gravitational spin(1)-spin(2) dynamics in Hamiltonian form
• Wormholes and trumpets: the Schwarzschild spacetime for the moving-puncture generation
• Reducing orbital eccentricity of precessing black-hole binaries
• Reducing eccentricity in black-hole binary evolutions with initial parameters from post-Newtonian inspiral
• Leading order finite size effects with spins for inspiralling compact binaries
• Canonical Formulation of Spin in General Relativity
• Measuring orbital eccentricity and periastron advance in quasi-circular black hole simulations
• Binary black hole initial data for numerical general relativity based on post-Newtonian data
• Binary black hole initial data from matched asymptotic expansions
• Reliability of complete gravitational waveform models for compact binary coalescences
• Improved initial data for black hole binaries by asymptotic matching of post-Newtonian and perturbed black hole solutions
• Uncertainty in hybrid gravitational waveforms: Optimizing initial orbital frequencies for binary black-hole simulations
• An efficient iterative method to reduce eccentricity in numerical-relativity simulations of compact binary inspiral
• Post-Newtonian Quasicircular Initial Orbits for Numerical Relativity
• A Simple method to set up low eccentricity initial data for moving puncture simulations

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• Setting the cornerstone for the IMRPhenomX family of models for gravitational waves from compact binaries: The dominant harmonic for non-precessing quasi-circular black holes
• The RIT binary black hole simulations catalog
• The Science of the Einstein Telescope
• The Third RIT binary black hole simulations catalog
• A first survey of spinning eccentric black hole mergers: Numerical relativity simulations, hybrid waveforms, and parameter estimation
• Defining eccentricity for gravitational wave astronomy
• Black hole merger simulations in wave dark matter environments
• Eccentric binary black holes: Comparing numerical relativity and small mass-ratio perturbation theory
• Impact of eccentricity on the gravitational wave searches for binary black holes: High mass case
• Adding eccentricity to quasicircular binary-black-hole waveform models
• A Rosetta Stone for eccentric gravitational waveform models
• Validity of common modelling approximations for precessing binary black holes with higher-order modes
• Evidence for eccentricity in the population of binary black holes observed by LIGO-Virgo-KAGRA
• Numerical-relativity simulations of the quasi-circular inspiral and merger of non-spinning, charged black holes: methods and comparison with approximate approaches
• Eccentric Binary Black Holes with Spin via the Direct Integration of the Post-Newtonian Equations of Motion
• Measurability of precession and eccentricity for heavy binary-black-hole mergers
• Orbital eccentricity in general relativity from catastrophe theory
• Effect of orbital eccentricity on the dynamics of precessing compact binaries
• Impact of eccentricity and mean anomaly in numerical relativity mergers
• Phenomenological relationship between eccentric and quasi-circular orbital binary black hole waveform
• Mapping eccentricity evolutions between numerical relativity and effective-one-body gravitational waveforms
• Adaptive mesh refinement in binary black holes simulations
• Second MAYA Catalog of Binary Black Hole Numerical Relativity Waveforms
• Binary Black Hole Waveforms from High-Resolution GR-Athena++ Simulations
• Post-Newtonian theory-inspired framework for characterizing eccentricity in gravitational waveforms
• Initial Data and Eccentricity Reduction Toolkit for Binary Black Hole Numerical Relativity Waveforms
• Data-driven extraction, phenomenology and modeling of eccentric harmonics in binary black hole merger waveforms
• Building a bridge between comparable and extreme mass ratio black hole binaries: a single spin precessing model for the final state
• A complete waveform comparison of post-Newtonian and numerical relativity in eccentric orbits
• Reducing orbital eccentricity in initial data of black hole--neutron star binaries in the puncture framework