Universal phenomenological relations between spherical harmonic modes in non-precessing eccentric binary black hole merger waveforms

Abstract

Using publicly available numerical relativity (NR) simulations for non-spinning eccentric binary black hole (BBH) mergers, Ref \cite{Islam:2024rhm} demonstrated that the eccentricity-induced modulations in the amplitudes and frequencies of different spherical harmonic modes are mutually consistent and can be modeled using a single time series modulation. We extend the validity of the results to all non-precessing binaries by using 83 NR simulations from the SXS, RIT, and MAYA catalogs for aligned-spin eccentric BBH mergers with mass ratios ranging from $1:1$ to $1:4$. Based on these phenomenological relations, we provide a framework named gwNRXHME to compute multi-modal eccentric non-precessing waveforms using two inputs: quadrupolar eccentric waveforms, and the corresponding multi-modal quasi-circular non-precessing waveforms. Furthermore, we compute an overall degree of departure in SXS, RIT, and MAYA NR data from these relations and find that SXS NR simulations generally adhere to these relations more strictly than RIT and MAYA data. We also show that these relations can offer a cost-effective way to filter out noisy higher-order spherical harmonic modes extracted from NR data. Our framework is publicly available through the gwModels package.

9 pages, 6 figures, framework is available at https://github.com/tousifislam/gwModels

References in corpus (65)

• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• Advanced LIGO
• Frequency-domain gravitational waves from non-precessing black-hole binaries. II. A phenomenological model for the advanced detector era
• Frequency-domain gravitational waves from non-precessing black-hole binaries. I. New numerical waveforms and anatomy of the signal
• A simple model of complete precessing black-hole-binary gravitational waveforms
• An improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors
• Computationally efficient models for the dominant and sub-dominant harmonic modes of precessing binary black holes
• The SXS Collaboration catalog of binary black hole simulations
• Surrogate models for precessing binary black hole simulations with unequal masses
• Inspiral-merger-ringdown waveforms of spinning, precessing black-hole binaries in the effective-one-body formalism
• Multipolar Effective-One-Body Waveforms for Precessing Binary Black Holes: Construction and Validation
• IMRPhenomXHM: A multi-mode frequency-domain model for the gravitational wave signal from non-precessing black-hole binaries
• Surrogate model of hybridized numerical relativity binary black hole waveforms
• Enriching the Symphony of Gravitational Waves from Binary Black Holes by Tuning Higher Harmonics
• First higher-multipole model of gravitational waves from spinning and coalescing black-hole binaries
• Validating the effective-one-body model of spinning, precessing binary black holes against numerical relativity
• Third post-Newtonian accurate generalized quasi-Keplerian parametrization for compact binaries in eccentric orbits
• Phenomenological model for the gravitational-wave signal from precessing binary black holes with two-spin effects
• A Numerical Relativity Waveform Surrogate Model for Generically Precessing Binary Black Hole Mergers
• Fast and accurate prediction of numerical relativity waveforms from binary black hole coalescences using surrogate models
• Including higher order multipoles in gravitational-wave models for precessing binary black holes
• A new effective-one-body description of coalescing nonprecessing spinning black-hole binaries
• 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
• SEOBNRv5PHM: Next generation of accurate and efficient multipolar precessing-spin effective-one-body waveforms for binary black holes
• Laying the foundation of the effective-one-body waveform models SEOBNRv5: improved accuracy and efficiency for spinning non-precessing binary black holes
• 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
• Effective-one-body waveforms calibrated to numerical relativity simulations: coalescence of non-precessing, spinning, equal-mass black holes
• A multipolar effective one body waveform model for spin-aligned black hole binaries
• Accurate and efficient waveforms for compact binaries on eccentric orbits
• Effective one body multipolar waveform model for spin-aligned, quasi-circular, eccentric, hyperbolic black hole binaries
• Effective-one-body multipolar waveforms for eccentric binary black holes with non-precessing spins
• Gravitational-wave phasing for low-eccentricity inspiralling compact binaries to 3PN order
• Effects of waveform model systematics on the interpretation of GW150914
• An eccentric binary black hole inspiral-merger-ringdown gravitational waveform model from numerical relativity and post-Newtonian theory
• Complete waveform model for compact binaries on eccentric orbits
• Eccentric binary black hole surrogate models for the gravitational waveform and remnant properties: comparable mass, nonspinning case
• Frequency domain reduced order model of aligned-spin effective-one-body waveforms with higher-order modes
• New twists in compact binary waveform modelling: a fast time domain model for precession
• 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
• A Multipolar Effective One Body Model for Non-Spinning Black Hole Binaries
• The final twist: A model of gravitational waves from precessing black-hole binaries through merger and ringdown
• IMRPhenomTP: A phenomenological time domain model for dominant quadrupole gravitational wave signal of coalescing binary black holes
• Enhancing the SEOBNRv5 effective-one-body waveform model with second-order gravitational self-force fluxes
• PhenomXO4a: a phenomenological gravitational-wave model for precessing black-hole binaries with higher multipoles and asymmetries
• Measuring orbital eccentricity and periastron advance in quasi-circular black hole simulations
• The Third RIT binary black hole simulations catalog
• Defining eccentricity for gravitational wave astronomy
• Faithful effective-one-body waveform of small-mass-ratio coalescing black hole binaries: the eccentric, nonspinning, case
• Ready-to-use Fourier domain templates for compact binaries inspiraling along moderately eccentric orbits
• Generalized quasi-Keplerian solution for eccentric, non-spinning compact binaries at 4PN order and the associated IMR waveform
• New Avenue for Accurate Analytical Waveforms and Fluxes for Eccentric Compact Binaries
• Adding eccentricity to quasicircular binary-black-hole waveform models
• A Rosetta Stone for eccentric gravitational waveform models
• Post-Newtonian Quasicircular Initial Orbits for Numerical Relativity
• Unveiling the merger structure of black hole binaries in generic planar orbits
• Effective-One-Body Numerical-Relativity waveform model for Eccentric spin-precessing binary black hole coalescence
• 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
• Ringdown frequencies in black holes formed from precessing black-hole binaries
• First frequency-domain phenomenological model of the multipole asymmetry in gravitational-wave signals from binary-black-hole coalescence
• Numerical relativity higher order gravitational waveforms of eccentric, spinning, non-precessing binary black hole mergers
• Phenomenological relationship between eccentric and quasi-circular orbital binary black hole waveform

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• Accurate waveforms for eccentric, aligned-spin binary black holes: The multipolar effective-one-body model SEOBNRv5EHM
• 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
• Time-domain phenomenological multipolar waveforms for aligned-spin binary black holes in elliptical orbits
• Testing the nature of GW200105 by probing the frequency evolution of eccentricity
• Post-Newtonian theory-inspired framework for characterizing eccentricity in gravitational waveforms
• Biased parameter inference of eccentric, spin-precessing binary black holes
• Search for gravitational waves from eccentric binary black holes with an effective-one-body template