Inferring spin tilts at formation from gravitational wave observations of binary black holes: Interfacing precession-averaged and orbit-averaged spin evolution

Abstract

Two important parameters inferred from the gravitational wave signals of binaries of precessing black holes are the spin tilt angles, i.e., the angles at which the black holes' spin axes are inclined with respect to the binary's orbital angular momentum. The LIGO-Virgo parameter estimation analyses currently provide spin tilts at a fiducial reference frequency, often the lowest frequency used in the data analysis. However, the most astrophysically interesting quantities are the spin tilts when the binary was formed, which can be significantly different from those at the reference frequency for strongly precessing binaries. The spin tilts at formally infinite separation are a good approximation to the tilts at formation in many formation channels and can be computed efficiently for binary black holes using precession-averaged evolution. Here, we present a new code for computing the tilts at infinity that combines the precession-averaged evolution with orbit-averaged evolution at high frequencies and illustrate its application to GW190521 and other binary black hole detections from O3a. We have empirically determined the transition frequency between the orbit-averaged and precession-averaged evolution to produce tilts at infinity with a given accuracy. We also have regularized the precession-averaged equations in order to obtain good accuracy for the very close-to-equal-mass binary parameters encountered in practice. This additionally allows us to investigate the singular equal-mass limit of the precession-averaged expressions, where we find an approximate scaling of $1/(1-q)$ with the mass ratio $q$.

arXiv comment25 pages, 16 figures

References in corpus (69)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Array Programming with NumPy
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• GW190521: A Binary Black Hole Merger with a Total Mass of $150M_{\odot }$
• Sensitivity Studies for Third-Generation Gravitational Wave Observatories
• The first gravitational-wave source from the isolated evolution of two 40-100 Msun stars
• Coalescing binary systems of compact objects to (post)$^{5/2}-Newtonian order. V. Spin Effects
• A simple model of complete precessing black-hole-binary gravitational waveforms
• GW190412: Observation of a Binary-Black-Hole Coalescence with Asymmetric Masses
• Properties and astrophysical implications of the 150 Msun binary black hole merger GW190521
• Computationally efficient models for the dominant and sub-dominant harmonic modes of precessing binary black holes
• Rapid and Bright Stellar-mass Binary Black Hole Mergers in Active Galactic Nuclei
• Assisted Inspirals of Stellar Mass Black Holes Embedded in AGN Disks: Solving the "Final AU Problem"
• Surrogate models for precessing binary black hole simulations with unequal masses
• Towards models of gravitational waveforms from generic binaries II: Modelling precession effects with a single effective precession parameter
• Inspiral-merger-ringdown waveforms of spinning, precessing black-hole binaries in the effective-one-body formalism
• The evolutionary roads leading to low effective spins, high black hole masses, and O1/O2 rates of LIGO/Virgo binary black holes
• Multipolar Effective-One-Body Waveforms for Precessing Binary Black Holes: Construction and Validation
• Analysis of spin precession in binary black hole systems including quadrupole-monopole interaction
• GW190521: orbital eccentricity and signatures of dynamical formation in a binary black hole merger signal
• Alignment of the spins of supermassive black holes prior to coalescence
• Distinguishing Spin-Aligned and Isotropic Black Hole Populations With Gravitational Waves
• On stellar-mass black hole mergers in AGN disks detectable with LIGO
• Dynamical Formation of the GW150914 Binary Black Hole
• Validating the effective-one-body model of spinning, precessing binary black holes against numerical relativity
• Spin orientations of merging black holes formed from the evolution of stellar binaries
• Spin-Orbit Misalignment in Close Binaries with Two Compact Objects
• Third post-Newtonian accurate generalized quasi-Keplerian parametrization for compact binaries in eccentric orbits
• Hierarchical analysis of gravitational-wave measurements of binary black hole spin-orbit misalignments
• Constructing Gravitational Waves from Generic Spin-Precessing Compact Binary Inspirals
• Including higher order multipoles in gravitational-wave models for precessing binary black holes
• Determining the population properties of spinning black holes
• A Post-Newtonian diagnostic of quasi-equilibrium binary configurations of compact objects
• Quadratic-in-spin effects in the orbital dynamics and gravitational-wave energy flux of compact binaries at the 3PN order
• Addressing the spin question in gravitational-wave searches: Waveform templates for inspiralling compact binaries with nonprecessing spins
• Next-to-next-to-leading order spin-orbit effects in the near-zone metric and precession equations of compact binaries
• Searching for Eccentricity: Signatures of Dynamical Formation in the First Gravitational-Wave Transient Catalogue of LIGO and Virgo
• High-accuracy mass, spin, and recoil predictions of generic black-hole merger remnants
• Multi-timescale analysis of phase transitions in precessing black-hole binaries
• Effective potentials and morphological transitions for binary black-hole spin precession
• GW190521 may be an intermediate mass ratio inspiral
• New twists in compact binary waveform modelling: a fast time domain model for precession
• PESummary: the code agnostic Parameter Estimation Summary page builder
• Binary black hole mergers in AGN accretion discs: gravitational wave rate density estimates
• The most ordinary formation of the most unusual double black hole merger
• Signs of eccentricity in two gravitational-wave signals may indicate a sub-population of dynamically assembled binary black holes
• PRECESSION: Dynamics of spinning black-hole binaries with python
• Gravitational-wave physics with Cosmic Explorer: limits to low-frequency sensitivity
• IMRPhenomTP: A phenomenological time domain model for dominant quadrupole gravitational wave signal of coalescing binary black holes
• Inferences about supernova physics from gravitational-wave measurements: GW151226 spin misalignment as an indicator of strong black-hole natal kicks
• A detailed analysis of GW190521 with phenomenological waveform models
• On the formation of GW190814
• A generalized precession parameter ${\chi }_{\mathrm{p}}$ to interpret gravitational-wave data
• Constraining black-hole spins with gravitational wave observations
• Precessional instability in binary black holes with aligned spins
• Comparing Post-Newtonian and Numerical-Relativity Precession Dynamics
• The Origin of inequality: isolated formation of a 30+10Msun binary black-hole merger
• Measuring eccentricity of binary black holes in GWTC-1 by using inspiral-only waveform
• A more effective coordinate system for parameter estimation of precessing compact binaries from gravitational waves
• Spin and Eccentricity Evolution in Triple Systems: from the Lidov-Kozai Interaction to the Final Merger of the Inner Binary
• Gravitational-wave population inference at past time infinity
• Dynamical formation of the GW190814 merger
• On the equal-mass limit of precessing black-hole binaries
• Effect of orbital eccentricity on the dynamics of precessing compact binaries
• Endpoint of the up-down instability in precessing binary black holes
• Mapping the asymptotic inspiral of precessing binary black holes to their merger remnants
• Prospects for measuring off-axis spins of binary black holes with Plus-era gravitational-wave detectors
• Analytic Solutions to Compact Binary Inspirals With Leading Order Spin-Orbit Contribution Using The Dynamical Renormalization Group
• Evidence of large recoil velocity from a black hole merger signal

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• Residual eccentricity as a systematic uncertainty on the formation channels of binary black holes
• Spin-eccentricity interplay in merging binary black holes
• Sensitivity of spin-aligned searches for neutron star-black hole systems using future detectors
• Distinguishing binary black hole precessional morphologies with gravitational wave observations
• Building a bridge between comparable and extreme mass ratio black hole binaries: a single spin precessing model for the final state
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