Optimizing post-Newtonian parameters and fixing the BMS frame for numerical-relativity waveform hybridizations
arXiv:2403.10278 · doi:10.1103/PhysRevD.110.104076
Abstract
Numerical relativity (NR) simulations of binary black holes provide precise waveforms, but are typically too computationally expensive to produce waveforms with enough orbits to cover the whole frequency band of gravitational-wave observatories. Accordingly, it is important to be able to hybridize NR waveforms with analytic, post-Newtonian (PN) waveforms, which are accurate during the early inspiral phase. We show that to build such hybrids, it is crucial to both fix the Bondi-Metzner-Sachs (BMS) frame of the NR waveforms to match that of PN theory, and optimize over the PN parameters. We test such a hybridization procedure including all spin-weighted spherical harmonic modes with for , using 29 NR waveforms with mass ratios and spin magnitudes . We find that for spin-aligned systems, the PN and NR waveforms agree very well. The difference is limited by the small nonzero orbital eccentricity of the NR waveforms, or equivalently by the lack of eccentric terms in the PN waveforms. To maintain full accuracy of the simulations, the matching window for spin-aligned systems should be at least 5 orbits long and end at least 15 orbits before merger. For precessing systems, the errors are larger than for spin-aligned cases. The errors are likely limited by the absence of precession-related spin-spin PN terms. Using long NR waveforms, we find that there is no optimal choice of the matching window within this time span, because the hybridization result for precessing cases is always better if using earlier or longer matching windows. We provide the mean orbital frequency of the smallest acceptable matching window as a function of the target error between the PN and NR waveforms and the black hole spins.
21 pages, 22 figures
References in corpus (55)
- SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
- GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
- Advanced Virgo: a 2nd generation interferometric gravitational wave detector
- GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
- Advanced LIGO
- TianQin: a space-borne gravitational wave detector
- GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run
- Tests of general relativity with GW150914
- Science Case for the Einstein Telescope
- Binary Black Hole Mergers in the first Advanced LIGO Observing Run
- Properties of the Binary Black Hole Merger GW150914
- Binary Black Hole Population Properties Inferred from the First and Second Observing Runs of Advanced LIGO and Advanced Virgo
- Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1
- GW150914: The Advanced LIGO Detectors in the Era of First Discoveries
- GW190412: Observation of a Binary-Black-Hole Coalescence with Asymmetric Masses
- KAGRA: 2.5 Generation Interferometric Gravitational Wave Detector
- GW150914: First results from the search for binary black hole coalescence with Advanced LIGO
- Matching post-Newtonian and numerical relativity waveforms: systematic errors and a new phenomenological model for non-precessing black hole binaries
- Low-frequency gravitational-wave science with eLISA/NGO
- The SXS Collaboration catalog of binary black hole simulations
- Towards models of gravitational waveforms from generic binaries II: Modelling precession effects with a single effective precession parameter
- Illuminating Black Hole Binary Formation Channels with Spins in Advanced LIGO
- Surrogate model of hybridized numerical relativity binary black hole waveforms
- The origin of spin in binary black holes: Predicting the distributions of the main observables of Advanced LIGO
- The third post-Newtonian gravitational wave polarisations and associated spherical harmonic modes for inspiralling compact binaries in quasi-circular orbits
- Spin orientations of merging black holes formed from the evolution of stellar binaries
- Post-Newtonian corrections to the gravitational-wave memory for quasicircular, inspiralling compact binaries
- Quadratic-in-spin effects in the orbital dynamics and gravitational-wave energy flux of compact binaries at the 3PN order
- A Surrogate Model of Gravitational Waveforms from Numerical Relativity Simulations of Precessing Binary Black Hole Mergers
- Next-to-next-to-leading order spin-orbit effects in the near-zone metric and precession equations of compact binaries
- The third and a half post-Newtonian gravitational wave quadrupole mode for quasi-circular inspiralling compact binaries
- Gravitational-wave phasing for low-eccentricity inspiralling compact binaries to 3PN order
- Extrapolating gravitational-wave data from numerical simulations
- Gravitational Waves from a Particle in Circular Orbits around a Schwarzschild Black Hole to the 22nd Post-Newtonian Order
- Transformations of asymptotic gravitational-wave data
- Cubic order spin effects in the dynamics and gravitational wave energy flux of compact object binaries
- Angular velocity of gravitational radiation from precessing binaries and the corotating frame
- Gravitational Wave Flux and Quadrupole Modes from Quasi-Circular Non-Spinning Compact Binaries to the Fourth Post-Newtonian Order
- Improved Cauchy-characteristic evolution system for high-precision numerical relativity waveforms
- Non-linear multipole interactions and gravitational-wave octupole modes for inspiralling compact binaries to third-and-a-half post-Newtonian order
- Defining eccentricity for gravitational wave astronomy
- Next-to-leading tail-induced spin-orbit effects in the gravitational radiation flux of compact binaries
- Suitability of post-Newtonian/numerical-relativity hybrid waveforms for gravitational wave detectors
- Constraining black-hole spins with gravitational wave observations
- Fixing the BMS Frame of Numerical Relativity Waveforms
- Characteristic Evolution and Matching
- Fixing the BMS frame of numerical relativity waveforms with BMS charges
- Gravitational-wave amplitudes for compact binaries in eccentric orbits at the third post-Newtonian order: Memory contributions
- Suitability of hybrid gravitational waveforms for unequal-mass binaries
- Uncertainty in hybrid gravitational waveforms: Optimizing initial orbital frequencies for binary black-hole simulations
- Tidal Spin-up of Black Hole Progenitor Stars
- How should spin-weighted spherical functions be defined?
- Compact Binary Waveform Center-of-Mass Corrections
- Binary Black Hole Waveform Extraction at Null Infinity
- Hybrid waveforms for generic precessing binaries for gravitational-wave data analysis
Cited by in corpus (6)
- The SXS Collaboration's third catalog of binary black hole simulations
- Length dependence of waveform mismatch: a caveat on waveform accuracy
- Gauge Boundary conditions to mitigate center-of-mass drift in BBH simulations
- Learning Post-Newtonian Corrections from Numerical Relativity
- Hybrid waveforms for precessing quasi-circular binary systems
- Persistence of post-Newtonian amplitude structure in binary black hole mergers