Interplay between numerical-relativity and black hole perturbation theory in the intermediate-mass-ratio regime

Abstract

We investigate the interplay between numerical relativity (NR) and point-particle black hole perturbation theory (ppBHPT) for quasi-circular non-spinning binary black holes in the intermediate mass ratio regime: 7<=q<=128 (where $q:=m_1/m_2$ is the mass ratio of the binary with m_1 and m_2 being the mass of the primary and secondary black hole respectively). Initially, we conduct a comprehensive comparison between the dominant (l,m) = (2,2) mode of the gravitational radiation obtained from state-of-the-art NR simulations and ppBHPT waveforms along with waveforms generated from recently developed NR-informed ppBHPT surrogate model, BHPTNRSur1dq1e4. This surrogate model employs a simple but non-trivial rescaling technique known as the $\alpha$-$\beta$ scaling to effectively match ppBHPT waveforms to NR in the comparable mass ratio regime. Subsequently, we analyze the amplitude and frequency differences between NR and ppBHPT waveforms to investigate the non-linearities, beyond adiabatic evolution, that are present during the merger stage of the binary evolution and propose fitting functions to describe these differences in terms of both the mass ratio and the symmetric mass ratio. Finally, we assess the performance of the $\alpha$-$\beta$ scaling technique in the intermediate mass ratio regime.

arXiv comment11 pages, 10 figures

References in corpus (37)

• 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
• An improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors
• The SXS Collaboration catalog of binary black hole simulations
• A catalog of 174 binary black-hole simulations for gravitational-wave astronomy
• 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
• Surrogate model of hybridized numerical relativity binary black hole waveforms
• Gravitational wave snapshots of generic extreme mass ratio inspirals
• Analytic Solutions of the Teukolsky Equation and their Low Frequency Expansions
• 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
• 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
• Georgia Tech Catalog of Gravitational Waveforms
• A Surrogate Model of Gravitational Waveforms from Numerical Relativity Simulations of Precessing Binary Black Hole Mergers
• Gravitational waveforms for compact binaries from second-order self-force theory
• Towards adiabatic waveforms for inspiral into Kerr black holes: I. A new model of the source for the time domain perturbation equation
• 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
• The RIT binary black hole simulations catalog
• Towards adiabatic waveforms for inspiral into Kerr black holes: II. Dynamical sources and generic orbits
• New Numerical Methods to Evaluate Homogeneous Solutions of the Teukolsky Equation
• A Surrogate Model for Gravitational Wave Signals from Comparable- to Large- Mass-Ratio Black Hole Binaries
• Intermediate-mass-ratio black hole binaries: intertwining numerical and perturbative techniques
• Null infinity waveforms from extreme-mass-ratio inspirals in Kerr spacetime
• The second RIT binary black hole simulations catalog and its application to gravitational waves parameter estimation
• Binary black hole merger gravitational waves and recoil in the large mass ratio limit
• The Third RIT binary black hole simulations catalog
• New Numerical Methods to Evaluate Homogeneous Solutions of the Teukolsky Equation II. Solutions of the Continued Fraction Equation
• Intermediate Mass Ratio Black Hole Binaries: Numerical Relativity meets Perturbation Theory
• Exploring the small mass ratio binary black hole merger via Zeno's dichotomy approach
• Targeted large mass ratio numerical relativity surrogate waveform model for GW190814
• Intermediate-mass-ratio black hole binaries II: Modeling Trajectories and Gravitational Waveforms
• Interplay between numerical relativity and perturbation theory : finite size effects

Cited by in corpus (4)

• Interplay between numerical relativity and perturbation theory : finite size effects
• Building a bridge between comparable and extreme mass ratio black hole binaries: a single spin precessing model for the final state
• On the approximate relation between black-hole perturbation theory and numerical relativity
• Accurate models for recoil velocity distribution in black hole mergers with comparable to extreme mass-ratios and their astrophysical implications