Persistence of post-Newtonian amplitude structure in binary black hole mergers

Abstract

We analyze the spherical harmonic mode amplitudes of quasicircular, nonprecessing binary black hole mergers using 275 numerical relativity simulations from the SXS, RIT, and MAYA catalogs. We construct fits using the leading-order post-Newtonian (PN) dependence on intrinsic parameters, replacing the PN velocity with fit coefficients. We compare these to polynomial fits in symmetric mass ratio and spin. We analyze $(\ell ,m)$ modes with $\ell \le 4$ from late inspiral [$t=-500M$ relative to the $(2,2)$ peak] to postmerger ($t=40M$). For nonspinning systems, the $(2,2)$, $(2,1)$, and $(3,3)$ modes retain the leading-order PN dependence on mass ratio throughout the merger. Higher-order modes deviate from the PN dependence only near and after the merger, where polynomial fits of degree $N\le 3$ can capture the amplitude behavior up to $40M$. For aligned-spin systems at fixed mass ratio, the $(2,1)$ mode retains its PN spin dependence, while the $(3,2)$ and $(4,3)$ modes exhibit a quadratic spin dependence near merger. The PN-inspired fits lose accuracy with increasing mass ratio, particularly near merger. Results broadly agree across catalogs, though discrepancies appear in the $(3,1)$, $(4,2)$, and $(4,1)$ modes, likely from resolution differences. Our results clarify the extent to which PN structure persists in mode amplitudes. Although the fits cannot be fully interpreted within the PN formalism near merger, low-degree polynomial corrections to the PN amplitude Ansätze can capture strong-field behavior, enabling closed-form and efficient modeling of waveform amplitudes in this regime.

arXiv comment23 pages, 12 figures

References in corpus (54)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Observation of Gravitational Waves from a Binary Black Hole Merger
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• Advanced LIGO
• Quasinormal modes of black holes and black branes
• dynesty: A Dynamic Nested Sampling Package for Estimating Bayesian Posteriors and Evidences
• GW190521: A Binary Black Hole Merger with a Total Mass of $150M_{\odot }$
• On the Numerical Integration of Einstein's Field Equations
• Bilby: A user-friendly Bayesian inference library for gravitational-wave astronomy
• Evolutions in 3D numerical relativity using fixed mesh refinement
• The Einstein Toolkit: A Community Computational Infrastructure for Relativistic Astrophysics
• Bayesian inference for compact binary coalescences with BILBY: Validation and application to the first LIGO--Virgo gravitational-wave transient catalogue
• Matched filtering of gravitational waves from inspiraling compact binaries: Computational cost and template placement
• The SXS Collaboration catalog of binary black hole simulations
• Numerical Relativity Using a Generalized Harmonic Decomposition
• Calibration of Moving Puncture Simulations
• A single-domain spectral method for black hole puncture data
• Inspiral-merger-ringdown waveforms of spinning, precessing black-hole binaries in the effective-one-body formalism
• Higher-order spin effects in the amplitude and phase of gravitational waveforms emitted by inspiraling compact binaries: Ready-to-use gravitational waveforms
• Modeling Ringdown: Beyond the Fundamental Quasi-Normal Modes
• Harmonic coordinate method for simulating generic singularities
• Georgia Tech Catalog of Gravitational Waveforms
• Accurate black hole evolutions by fourth-order numerical relativity
• Using Full Information When Computing Modes of Post-Newtonian Waveforms From Inspiralling Compact Binaries in Circular Orbit
• Tidal Deformation and Dissipation of Rotating Black Holes
• Ready-to-use post-Newtonian gravitational waveforms for binary black holes with non-precessing spins: An update
• Black-hole hair loss: learning about binary progenitors from ringdown signals
• Post-Newtonian factorized multipolar waveforms for spinning, non-precessing black-hole binaries
• Reducing phase error in long numerical binary black hole evolutions with sixth order finite differencing
• Numerical Relativity and Astrophysics
• GW231123: a Binary Black Hole Merger with Total Mass 190-265 $M_{\odot }$
• Is black-hole ringdown a memory of its progenitor?
• Dynamical Excision Boundaries in Spectral Evolutions of Binary Black Hole Spacetimes
• Modeling the source of GW150914 with targeted numerical-relativity simulations
• Measuring gravitational-wave higher-order modes
• Tidal heating and torquing of a Kerr black hole to next-to-leading order in the tidal coupling
• Key Elements of Robustness in Binary Black Hole Evolutions using Spectral Methods
• The Third RIT binary black hole simulations catalog
• Decoding mode-mixing in black-hole merger ringdown
• LIGO Detector Characterization in the first half of the fourth Observing run
• The SXS Collaboration's third catalog of binary black hole simulations
• Testing Gravity with Gravitational Waves from Binary Black Hole Mergers: Contributions from Amplitude Corrections
• Post-Newtonian Quasicircular Initial Orbits for Numerical Relativity
• Spin contributions to the gravitational-waveform modes for spin-aligned binaries at the 3.5PN order
• Comparison of post-Newtonian mode amplitudes with numerical relativity simulations of binary black holes
• Compact Binary Waveform Center-of-Mass Corrections
• Ringdown amplitudes of nonspinning eccentric binaries
• Tidal interaction in binary black hole inspiral
• The nonspinning binary black hole merger scenario revisited
• Flexible mapping of ringdown amplitudes for nonprecessing binary black holes
• Defining eccentricity for spin-precessing binaries
• Ringdown mode amplitudes of precessing binary black holes
• Optimizing post-Newtonian parameters and fixing the BMS frame for numerical-relativity waveform hybridizations
• Second MAYA Catalog of Binary Black Hole Numerical Relativity Waveforms