Constraining black-hole binary spin precession and nutation with sequential prior conditioning

Abstract

We investigate the detectability of sub-dominant spin effects in merging black-hole binaries using current gravitational-wave data. Using a phenomenological model that separates the spin dynamics into precession (azimuthal motion) and nutation (polar motion), we present constraints on the resulting amplitudes and frequencies. We also explore current constraints on the spin morphologies, indicating if binaries are trapped near spin-orbit resonances. We dissect such weak effects from the signals using a sequential prior conditioning approach, where parameters are progressively re-sampled from their posterior distribution. This allows us to investigate whether the data contain additional information beyond what is already provided by quantities that are better measured, namely the masses and the effective spin. For the current catalog of events, we find no significant measurements of weak spin effects such as nutation and spin-orbit locking. We synthesize a source with a high nutational amplitude and show that near-future detections will allow us to place powerful constraints, hinting that we may be at the cusp of detecting spin nutations in gravitational-wave data.

arXiv comment21 pages, 10 figures, 1 table (includes edits from erratum)

References in corpus (66)

• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• 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 $150M_{\odot }$
• Bilby: A user-friendly Bayesian inference library for gravitational-wave astronomy
• Coalescing binary systems of compact objects to (post)$^{5/2}-Newtonian order. V. Spin Effects
• GW190412: Observation of a Binary-Black-Hole Coalescence with Asymmetric Masses
• Coalescence of Two Spinning Black Holes: An Effective One-Body Approach
• Computationally efficient models for the dominant and sub-dominant harmonic modes of precessing binary black holes
• Bayesian inference for compact binary coalescences with BILBY: Validation and application to the first LIGO--Virgo gravitational-wave transient catalogue
• Towards models of gravitational waveforms from generic binaries II: Modelling precession effects with a single effective precession parameter
• New binary black hole mergers in the second observing run of Advanced LIGO and Advanced Virgo
• Illuminating Black Hole Binary Formation Channels with Spins in Advanced LIGO
• Analysis of spin precession in binary black hole systems including quadrupole-monopole interaction
• 2-OGC: Open Gravitational-wave Catalog of binary mergers from analysis of public Advanced LIGO and Virgo data
• Evidence for a maximum mass cut-off in the neutron star mass distribution and constraints on the equation of state
• Spin orientations of merging black holes formed from the evolution of stellar binaries
• Phenomenological model for the gravitational-wave signal from precessing binary black holes with two-spin effects
• A Highly Spinning and Aligned Binary Black Hole Merger in the Advanced LIGO First Observing Run
• Massively parallel Bayesian inference for transient gravitational-wave astronomy
• Compact Binary Coalescences in the Band of Ground-based Gravitational-Wave Detectors
• Hierarchical analysis of gravitational-wave measurements of binary black hole spin-orbit misalignments
• 3-OGC: Catalog of gravitational waves from compact-binary mergers
• Constructing Gravitational Waves from Generic Spin-Precessing Compact Binary Inspirals
• Determining the population properties of spinning black holes
• Constraining Formation Models of Binary Black Holes with Gravitational-Wave Observations
• Measuring the spin of black holes in binary systems using gravitational waves
• Resonant-plane locking and spin alignment in stellar-mass black-hole binaries: a diagnostic of compact-binary formation
• Spin-Orbit Resonance and the Evolution of Compact Binary Systems
• Multi-timescale analysis of phase transitions in precessing black-hole binaries
• Effective potentials and morphological transitions for binary black-hole spin precession
• The Cosmic Evolution of Binary Black Holes in Young, Globular and Nuclear Star Clusters: Rates, Masses, Spins and Mixing Fractions
• Joint constraints on the field-cluster mixing fraction, common envelope efficiency, and globular cluster radii from a population of binary hole mergers via deep learning
• Multiband gravitational-wave event rates and stellar physics
• Can we measure individual black-hole spins from gravitational-wave observations?
• Detecting Gravitational Waves With Disparate Detector Responses: Two New Binary Black Hole Mergers
• PRECESSION: Dynamics of spinning black-hole binaries with python
• Impact of Bayesian prior on the characterization of binary black hole coalescences
• A generalized precession parameter ${\chi }_{\mathrm{p}}$ to interpret gravitational-wave data
• Precessional instability in binary black holes with aligned spins
• When will we observe binary black holes precessing?
• Distinguishing black-hole spin-orbit resonances by their gravitational-wave signatures
• Comparing Post-Newtonian and Numerical-Relativity Precession Dynamics
• Measuring precession in asymmetric compact binaries
• Spin flips in generic black hole binaries
• Astrophysical implications of GW190412 as a remnant of a previous black-hole merger
• Flip-flopping binary black holes
• Pathways for producing binary black holes with large misaligned spins in the isolated formation channel
• Towards the routine use of subdominant harmonics in gravitational-wave inference: re-analysis of GW190412 with generation X waveform models
• Distinguishing black-hole spin-orbit resonances by their gravitational wave signatures. II: Full parameter estimation
• New effective precession spin for modeling multimodal gravitational waveforms in the strong-field regime
• When models fail: an introduction to posterior predictive checks and model misspecification in gravitational-wave astronomy
• Unstable flip-flopping spinning binary black holes
• Population-informed priors in gravitational-wave astronomy
• Nutational resonances, transitional precession, and precession-averaged evolution in binary black-hole systems
• Hints of spin-orbit resonances in the binary black hole population
• On the equal-mass limit of precessing black-hole binaries
• Detection and characterization of spin-orbit resonances in the advanced gravitational wave detectors era
• Endpoint of the up-down instability in precessing binary black holes
• A taxonomy of black-hole binary spin precession and nutation
• Wide nutation: binary black-hole spins repeatedly oscillating from full alignment to full anti-alignment
• Probing evolution of binaries influenced by the spin-orbit resonances
• Up-down instability of binary black holes in numerical relativity
• Mapping the asymptotic inspiral of precessing binary black holes to their merger remnants
• Cassini states for black hole binaries
• Evidence of large recoil velocity from a black hole merger signal

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• Systematic biases due to waveform mismodeling in parametrized post-Einsteinian tests of general relativity: The impact of neglecting spin precession and higher modes
• Efficient multi-timescale dynamics of precessing black-hole binaries
• Distinguishing binary black hole precessional morphologies with gravitational wave observations
• Measuring spin precession from massive black hole binaries with gravitational waves: insights from time-domain signal morphology
• Characterization of merging black holes with two precessing spins
• Signatures of spin precession and nutation in isolated black-hole binaries