A complete waveform comparison of post-Newtonian and numerical relativity in eccentric orbits
arXiv:2409.17636 · doi:10.1103/PhysRevD.111.064018
Abstract
This study presents a thorough comparative analysis between post-Newtonian (PN) and numerically relativistic (NR) waveforms in eccentric orbits, covering nonspinning and spin-aligned configurations. The comparison examines frequency, amplitude, and phase characteristics of various harmonic modes, such as 22, 21, 33, 32, 44, 43, and 55 modes. The study utilizes eccentric PN waveforms based on 3PN quasi-Keplerian parameterization with 3PN radiative reaction, surpassing Newtonian quadrupole moment with higher-order moments. NR waveforms from RIT and SXS catalogs span mass ratios from 1/4 to 1, eccentricities up to 0.45, and durations exceeding across nonspinning and spin-aligned configurations. Focusing on the 22 mode, frequency comparisons between quadrupole and higher-order moments of and were conducted. Amplitude comparisons revealed superior accuracy in quadrupole moments of . Analysis of total 180 sets of eccentric waveforms showed increasing fitting residuals with rising eccentricity, correlating with smaller mass ratios. Comparisons of initial eccentricity from PN fitting, 3PN quasi-Keplerian parameterization, and RIT/SXS catalogs revealed alignment discrepancies. Frequency, phase, and amplitude comparisons of 22 modes showed consistent inspiral behavior between PN and NR, with divergences near merger for nonspinning PN and pre-200M for spin-aligned PN.
18 figures
References in corpus (112)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Advanced Virgo: a 2nd generation interferometric gravitational wave detector
- Evolution of Binary Black Hole Spacetimes
- Accurate Evolutions of Orbiting Black-Hole Binaries Without Excision
- GW190521: A Binary Black Hole Merger with a Total Mass of
- 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
- On the Numerical Integration of Einstein's Field Equations
- Evolutions in 3D numerical relativity using fixed mesh refinement
- Coalescence of Two Spinning Black Holes: An Effective One-Body Approach
- The Einstein Toolkit: A Community Computational Infrastructure for Relativistic Astrophysics
- KAGRA: 2.5 Generation Interferometric Gravitational Wave Detector
- The SXS Collaboration catalog of binary black hole simulations
- Secular evolution of compact binaries near massive black holes: gravitational wave sources and other exotica
- Numerical Relativity Using a Generalized Harmonic Decomposition
- A catalog of 174 binary black-hole simulations for gravitational-wave astronomy
- Surrogate models for precessing binary black hole simulations with unequal masses
- Binary Black Hole Mergers from Globular Clusters: Implications for Advanced LIGO
- High-accuracy comparison of numerical relativity simulations with post-Newtonian expansions
- Calibration of Moving Puncture Simulations
- The Kozai Mechanism and the Evolution of Binary Supermassive Black Holes
- A New Generalized Harmonic Evolution System
- The Formation of Eccentric Compact Binary Inspirals and the Role of Gravitational Wave Emission in Binary-Single Stellar Encounters
- Eccentric Black Hole Mergers Forming in Globular Clusters
- Binary Mergers and Growth of Black Holes in Dense Star Clusters
- GW190521: orbital eccentricity and signatures of dynamical formation in a binary black hole merger signal
- Lidov-Kozai Cycles with Gravitational Radiation: Merging Black Holes in Isolated Triple Systems
- High-accuracy waveforms for binary black hole inspiral, merger, and ringdown
- PyCBC Inference: A Python-based parameter estimation toolkit for compact binary coalescence signals
- Surrogate model of hybridized numerical relativity binary black hole waveforms
- Black Hole Mergers in Galactic Nuclei Induced by the Eccentric Kozai-Lidov Effect
- Resonant Post-Newtonian Eccentricity Excitation in Hierarchical Three-body Systems
- Post-Newtonian Dynamics in Dense Star Clusters: Formation, Masses, and Merger Rates of Highly-Eccentric Black Hole Binaries
- Post-Newtonian Dynamics in Dense Star Clusters: Highly-Eccentric, Highly-Spinning, and Repeated Binary Black Hole Mergers
- Eccentric Black Hole Mergers in Dense Star Clusters: The Role of Binary-Binary Encounters
- Four-Body Effects in Globular Cluster Black Hole Coalescence
- Long-Term Cycling of Kozai-Lidov Cycles: Extreme Eccentricities and Inclinations Excited by a Distant Eccentric Perturber
- Third post-Newtonian accurate generalized quasi-Keplerian parametrization for compact binaries in eccentric orbits
- A Numerical Relativity Waveform Surrogate Model for Generically Precessing Binary Black Hole Mergers
- AGN as Potential Factories for Eccentric Black Hole Mergers
- Harmonic coordinate method for simulating generic singularities
- Fast and accurate prediction of numerical relativity waveforms from binary black hole coalescences using surrogate models
- Georgia Tech Catalog of Gravitational Waveforms
- Observation of Gravitational Waves from the Coalescence of a Compact Object and a Neutron Star
- Accurate black hole evolutions by fourth-order numerical relativity
- Merging Binaries in the Galactic Center: The eccentric Kozai-Lidov mechanism with stellar evolution
- Simulations of Binary Black Hole Mergers Using Spectral Methods
- A data-analysis driven comparison of analytic and numerical coalescing binary waveforms: nonspinning case
- Rapid Eccentricity Oscillations and the Mergers of Compact Objects in Hierarchical Triples
- A Surrogate Model of Gravitational Waveforms from Numerical Relativity Simulations of Precessing Binary Black Hole Mergers
- Eccentric, nonspinning, inspiral, Gaussian-process merger approximant for the detection and characterization of eccentric binary black hole mergers
- Eccentric Black Hole Gravitational-Wave Capture Sources in Galactic Nuclei: Distribution of Binary Parameters
- Reducing phase error in long numerical binary black hole evolutions with sixth order finite differencing
- Three-Body Dynamics with Gravitational Wave Emission
- Extraction of Gravitational Waves in Numerical Relativity
- Gravitational-wave phasing for low-eccentricity inspiralling compact binaries to 3PN order
- 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
- 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
- Complete waveform model for compact binaries on eccentric orbits
- The Role of the Kozai-Lidov Mechanism in Black Hole Binary Mergers in Galactic Centers
- Circularization and Final Spin in Eccentric Binary Black Hole Inspirals
- Extrapolating gravitational-wave data from numerical simulations
- Comparisons of eccentric binary black hole simulations with post-Newtonian models
- Black Hole Binaries Dynamically Formed in Globular Clusters
- Comparison between numerical-relativity and post-Newtonian waveforms from spinning binaries: the orbital hang-up case
- Repeated Bursts from Relativistic Scattering of Compact Objects in Galactic Nuclei
- Comparison of Numerical and Post-Newtonian Waveforms for Generic Precessing Black-Hole Binaries
- The RIT binary black hole simulations catalog
- Phasing of gravitational waves from inspiralling eccentric binaries at the third-and-a-half post-Newtonian order
- MOCCA-SURVEY Database I: Eccentric Black Hole Mergers During Binary-Single Interactions In Globular Clusters
- Eccentric binary black-hole mergers: The transition from inspiral to plunge in general relativity
- Tail effects in the third post-Newtonian gravitational wave energy flux of compact binaries in quasi-elliptical orbits
- Observing complete gravitational wave signals from dynamical capture binaries
- Characteristic extraction in numerical relativity: binary black hole merger waveforms at null infinity
- Dynamical Excision Boundaries in Spectral Evolutions of Binary Black Hole Spacetimes
- Just Renormalizable TGFT's on U(1)^d with Gauge Invariance
- The second RIT binary black hole simulations catalog and its application to gravitational waves parameter estimation
- Second post-Newtonian gravitational wave polarizations for compact binaries in elliptical orbits
- Highly Eccentric Kozai Mechanism and Gravitational-Wave Observation for Neutron Star Binaries
- Measuring orbital eccentricity and periastron advance in quasi-circular black hole simulations
- High Eccentricities and High Masses Characterize Gravitational-wave Captures in Galactic Nuclei as Seen by Earth-based Detectors
- The Third RIT binary black hole simulations catalog
- 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
- Dynamical Interactions and the Black Hole Merger Rate of the Universe
- Order in the chaos: eccentric black hole binary mergers in triples formed via strong binary-binary scatterings
- Gravitational-wave amplitudes for compact binaries in eccentric orbits at the third post-Newtonian order: Tail contributions and post-adiabatic corrections
- Comparison of high-accuracy numerical simulations of black-hole binaries with stationary phase post-Newtonian template waveforms for Initial and Advanced LIGO
- Gravitational-wave amplitudes for compact binaries in eccentric orbits at the third post-Newtonian order: Memory contributions
- Generalized quasi-Keplerian solution for eccentric, non-spinning compact binaries at 4PN order and the associated IMR waveform
- Numerical relativity surrogate model with memory effects and post-Newtonian hybridization
- Comparison between numerical relativity and a new class of post-Newtonian gravitational-wave phase evolutions: the non-spinning equal-mass case
- Adding eccentricity to quasicircular binary-black-hole waveform models
- Spin effects in the phasing of gravitational waves from binaries on eccentric orbits
- Spin effects in gravitational waveforms and fluxes for binaries on eccentric orbits to the third post-Newtonian order
- Motion and gravitational wave forms of eccentric compact binaries with orbital-angular-momentum-aligned spins under next-to-leading order in spin-orbit and leading order in spin(1)-spin(2) and spin-squared couplings
- Accuracy Issues for Numerical Waveforms
- Post-Newtonian Quasicircular Initial Orbits for Numerical Relativity
- Comparison of post-Newtonian mode amplitudes with numerical relativity simulations of binary black holes
- 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
- Simple procedures to reduce eccentricity of binary black hole simulations
- Spectral Methods for Numerical Relativity. The Initial Data Problem
- Aligned Spins: Orbital Elements, Decaying Orbits, and Last Stable Circular Orbit to high post-Newtonian Orders
- Spin effects in Spherical Harmonic Modes of Gravitational Waves from Eccentric Compact Binary Inspirals
- Eccentric Binary Black Holes with Spin via the Direct Integration of the Post-Newtonian Equations of Motion
- Characterization of numerical relativity waveforms of eccentric binary black hole mergers
- Anomalies in the gravitational recoil of eccentric black-hole mergers with unequal mass ratios
- Phenomenological relationship between eccentric and quasi-circular orbital binary black hole waveform
- Characterizing the effect of eccentricity on the dynamics of binary black hole mergers in numerical relativity