Eccentric binary black holes: Comparing numerical relativity and small mass-ratio perturbation theory

Abstract

The modelling of unequal mass binary black hole systems is of high importance to detect and estimate parameters from these systems. Numerical relativity (NR) is well suited to study systems with comparable component masses, $m_1\sim m_2$, whereas small mass ratio (SMR) perturbation theory applies to binaries where $q=m_2/m_1<<1$. This work investigates the applicability for NR and SMR as a function of mass ratio for eccentric non-spinning binary black holes. We produce $52$ NR simulations with mass ratios between $1:10$ and $1:1$ and initial eccentricities up to $0.7$. From these we extract quantities like gravitational wave energy and angular momentum fluxes and periastron advance, and assess their accuracy. To facilitate comparison, we develop tools to map between NR and SMR inspiral evolutions of eccentric binary black holes. We derive post-Newtonian accurate relations between different definitions of eccentricity. Based on these analyses, we introduce a new definition of eccentricity based on the (2,2)-mode of the gravitational radiation, which reduces to the Newtonian definition of eccentricity in the Newtonian limit. From the comparison between NR simulations and SMR results, we quantify the unknown next-to-leading order SMR contributions to the gravitational energy and angular momentum fluxes, and periastron advance. We show that in the comparable mass regime these contributions are subdominant and higher order SMR contributions are negligible.

References in corpus (32)

• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• Phenomenological template family for black-hole coalescence waveforms
• Multipolar Effective-One-Body Waveforms for Precessing Binary Black Holes: Construction and Validation
• High-accuracy waveforms for binary black hole inspiral, merger, and ringdown
• Solving Einstein's Equations With Dual Coordinate Frames
• Reducing orbital eccentricity in binary black hole simulations
• Energetics of two-body Hamiltonians in post-Minkowskian gravity
• Eccentric, nonspinning, inspiral, Gaussian-process merger approximant for the detection and characterization of eccentric binary black hole mergers
• Searching for Eccentricity: Signatures of Dynamical Formation in the First Gravitational-Wave Transient Catalogue of LIGO and Virgo
• Accurate and efficient waveforms for compact binaries on eccentric orbits
• Inspiralling compact binaries in quasi-elliptical orbits: The complete third post-Newtonian energy flux
• Numerical Relativity and Astrophysics
• Eccentric binary black hole surrogate models for the gravitational waveform and remnant properties: comparable mass, nonspinning case
• Gravitational-wave energy flux for compact binaries through second order in the mass ratio
• Comparison between numerical-relativity and post-Newtonian waveforms from spinning binaries: the orbital hang-up case
• Phasing of gravitational waves from inspiralling eccentric binaries at the third-and-a-half post-Newtonian order
• Stable radiation-controlling boundary conditions for the generalized harmonic Einstein equations
• Testing outer boundary treatments for the Einstein equations
• Dynamical Excision Boundaries in Spectral Evolutions of Binary Black Hole Spacetimes
• The second RIT binary black hole simulations catalog and its application to gravitational waves parameter estimation
• Key Elements of Robustness in Binary Black Hole Evolutions using Spectral Methods
• Measuring orbital eccentricity and periastron advance in quasi-circular black hole simulations
• Third post-Newtonian gravitational waveforms for compact binary systems in general orbits: Instantaneous terms
• Simulations of black-hole binaries with unequal masses or non-precessing spins: accuracy, physical properties, and comparison with post-Newtonian results
• Self-force corrections to the periapsis advance around a spinning black hole
• Solving post-Newtonian accurate Kepler Equation
• Introductory lectures on the Effective One Body formalism
• A Rosetta Stone for eccentric gravitational waveform models
• An efficient iterative method to reduce eccentricity in numerical-relativity simulations of compact binary inspiral
• Constraining properties of the black hole population using LISA
• Resonantly enhanced kicks from equatorial small mass-ratio inspirals

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• The Science of the Einstein Telescope
• Extreme mass-ratio inspirals into black holes surrounded by scalar clouds
• Defining eccentricity for gravitational wave astronomy
• Accurate waveforms for eccentric, aligned-spin binary black holes: The multipolar effective-one-body model SEOBNRv5EHM
• The SXS Collaboration's third catalog of binary black hole simulations
• Spin effects in gravitational waveforms and fluxes for binaries on eccentric orbits to the third post-Newtonian order
• Evidence for eccentricity in the population of binary black holes observed by LIGO-Virgo-KAGRA
• Third post-Newtonian dynamics for eccentric orbits and aligned spins in the effective-one-body waveform model SEOBNRv5EHM
• Eccentric or circular? A reanalysis of binary black hole gravitational wave events for orbital eccentricity signatures
• A study of the Inspiral-Merger-Ringdown Consistency Test with gravitational-wave signals from compact binaries in eccentric orbits
• Orbital eccentricity in general relativity from catastrophe theory
• Time-domain phenomenological multipolar waveforms for aligned-spin binary black holes in elliptical orbits
• Impact of eccentricity and mean anomaly in numerical relativity mergers
• Defining eccentricity for spin-precessing binaries
• A geometric template bank for the detection of spinning low-mass compact binaries with moderate orbital eccentricity
• Improved inspiral-merger-ringdown model for BBHs on elliptical orbits
• Mapping eccentricity evolutions between numerical relativity and effective-one-body gravitational waveforms
• Post-adiabatic waveform-generation framework for asymmetric precessing binaries
• Strong Field Scattering of Black Holes: Assessing Resummation Strategies
• Worldtube excision method for intermediate-mass-ratio inspirals: scalar-field model in 3+1 dimensions
• Post-Newtonian theory-inspired framework for characterizing eccentricity in gravitational waveforms
• Data-driven extraction, phenomenology and modeling of eccentric harmonics in binary black hole merger waveforms
• Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary