A complete waveform comparison of post-Newtonian and numerical relativity in eccentric orbits

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 $17000M$ across nonspinning and spin-aligned configurations. Focusing on the 22 mode, frequency comparisons between quadrupole and higher-order moments of ${\Psi }_4^{22}$ and $h^{22}$ were conducted. Amplitude comparisons revealed superior accuracy in quadrupole moments of ${\Psi }_4^{22}$. 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 (44)

• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• GW190521: A Binary Black Hole Merger with a Total Mass of $150M_{\odot }$
• Calibration of Moving Puncture Simulations
• 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
• AGN as Potential Factories for Eccentric Black Hole Mergers
• Observation of Gravitational Waves from the Coalescence of a $2.5\text{-}4.5M_{\odot }$ Compact Object and a Neutron Star
• A data-analysis driven comparison of analytic and numerical coalescing binary waveforms: nonspinning case
• Eccentric, nonspinning, inspiral, Gaussian-process merger approximant for the detection and characterization of eccentric binary black hole mergers
• Reducing phase error in long numerical binary black hole evolutions with sixth order finite differencing
• Extraction of Gravitational Waves in Numerical Relativity
• Gravitational-wave phasing for low-eccentricity inspiralling compact binaries to 3PN order
• Eccentric Black Hole Mergers in Active Galactic Nuclei
• Complete waveform model for compact binaries on eccentric orbits
• Inspiralling compact binaries in quasi-elliptical orbits: The complete third post-Newtonian energy flux
• Circularization and Final Spin in Eccentric Binary Black Hole Inspirals
• Comparison between numerical-relativity and post-Newtonian waveforms from spinning binaries: the orbital hang-up case
• Comparison of Numerical and Post-Newtonian Waveforms for Generic Precessing Black-Hole Binaries
• Phasing of gravitational waves from inspiralling eccentric binaries at the third-and-a-half post-Newtonian order
• 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
• 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
• 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
• Comparison of high-accuracy numerical simulations of black-hole binaries with stationary phase post-Newtonian template waveforms for Initial and Advanced LIGO
• Generalized quasi-Keplerian solution for eccentric, non-spinning compact binaries at 4PN order and the associated IMR waveform
• Comparison between numerical relativity and a new class of post-Newtonian gravitational-wave phase evolutions: the non-spinning equal-mass case
• Numerical relativity surrogate model with memory effects and post-Newtonian hybridization
• Adding eccentricity to quasicircular binary-black-hole waveform models
• Spin effects in gravitational waveforms and fluxes for binaries on eccentric orbits to the third post-Newtonian order
• Accuracy Issues for Numerical Waveforms
• 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
• 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
• 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

Cited by in corpus (2)

• Post-Newtonian theory-inspired framework for characterizing eccentricity in gravitational waveforms
• The influence of the mean anomaly on the dynamical quantities of binary black hole mergers in eccentric orbits