Constraints On The Dynamical Environments Of Supermassive Black-hole Binaries Using Pulsar-timing Arrays

Abstract

We introduce a technique for gravitational-wave analysis, where Gaussian process regression is used to emulate the strain spectrum of a stochastic background using population-synthesis simulations. This leads to direct Bayesian inference on astrophysical parameters. For PTAs specifically, we interpolate over the parameter space of supermassive black-hole binary environments, including 3-body stellar scattering, and evolving orbital eccentricity. We illustrate our approach on mock data, and assess the prospects for inference with data similar to the NANOGrav 9-yr data release.

arXiv commentPublished in Physical Review Letters. 7 pages, 5 figures. Jupyter notebook and synthesized supermassive black-hole binary populations are available at https://github.com/stevertaylor/gw_pta_emulator

References in corpus (30)

• Properties of galaxies reproduced by a hydrodynamic simulation
• Revisiting the Scaling Relations of Black Hole Masses and Host Galaxy Properties
• Mass assembly in quiescent and star-forming galaxies since z=4 from UltraVISTA
• The Mass Distribution of Stellar-Mass Black Holes
• The dynamical evolution of massive black hole binaries - I. Hardening in a fixed stellar background
• The NANOGrav Nine-year Data Set: Limits on the Isotropic Stochastic Gravitational Wave Background
• The stochastic background: scaling laws and time to detection for pulsar timing arrays
• Interaction of massive black hole binaries with their stellar environment: I. Ejection of hypervelocity stars
• Evolution of Protoplanetary Discs with Magnetically Driven Disc Winds
• Systematic investigation of the expected gravitational wave signal from supermassive black hole binaries in the pulsar timing band
• The NANOGrav Nine-year Data Set: Observations, Arrival Time Measurements, and Analysis of 37 Millisecond Pulsars
• Galaxy And Mass Assembly (GAMA): Galaxy close-pairs, mergers, and the future fate of stellar mass
• Self consistent model for the evolution of eccentric massive black hole binaries in stellar environments: implications for gravitational wave observations
• Hyper-efficient model-independent Bayesian method for the analysis of pulsar timing data
• A Radio Census of Binary Supermassive Black Holes
• New advances in the Gaussian-process approach to pulsar-timing data analysis
• Insights on the astrophysics of supermassive black hole binaries from pulsar timing observations
• Distinguishing compact binary population synthesis models using gravitational-wave observations of coalescing binary black holes
• Are we there yet? Time to detection of nanohertz gravitational waves based on pulsar-timing array limits
• Binary super-massive black hole environments diminish the gravitational-wave signal in the pulsar timing band
• Swift coalescence of supermassive black holes in cosmological mergers of massive galaxies
• Gravitational waves and stalled satellites from massive galaxy mergers at z <= 1
• Selection bias in dynamically-measured super-massive black hole samples: consequences for pulsar timing arrays
• Constraining the Solution to the Last Parsec Problem with Pulsar Timing
• Detection of eccentric supermassive black hole binaries with pulsar timing arrays: Signal-to-noise ratio calculations
• Searching for Binary Supermassive Black Holes via Variable Broad Emission Line Shifts: Low Binary Fraction
• Improving gravitational-wave parameter estimation using Gaussian process regression
• Constraints on Black Hole/Host Galaxy Co-evolution and Binary Stalling Using Pulsar Timing Arrays
• Novel Method for Incorporating Model Uncertainties into Gravitational Wave Parameter Estimates
• Origin and Implications of high eccentricities in massive black hole binaries at sub-pc scales

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• The NANOGrav 11-year Data Set: Pulsar-timing Constraints On The Stochastic Gravitational-wave Background
• The NANOGrav 15-year Data Set: Constraints on Supermassive Black Hole Binaries from the Gravitational Wave Background
• On the evidence for a common-spectrum process in the search for the nanohertz gravitational-wave background with the Parkes Pulsar Timing Array
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• The Gravitational Wave Background from Massive Black Hole Binaries in Illustris: spectral features and time to detection with pulsar timing arrays
• The NANOGrav 11-Year Data Set: Limits on Gravitational Waves from Individual Supermassive Black Hole Binaries
• Astrophysics Milestones For Pulsar Timing Array Gravitational Wave Detection
• The MeerKAT Pulsar Timing Array: First Data Release
• The MeerKAT Pulsar Timing Array: The first search for gravitational waves with the MeerKAT radio telescope
• Constraining astrophysical observables of Galaxy and Supermassive Black Hole Binary Mergers using Pulsar Timing Arrays
• Mining Gravitational-wave Catalogs To Understand Binary Stellar Evolution: A New Hierarchical Bayesian Framework
• Black hole scaling relations of active and quiescent galaxies: Addressing selection effects and constraining virial factors
• The Need For Speed: Rapid Refitting Techniques for Bayesian Spectral Characterization of the Gravitational Wave Background Using PTAs
• Post-Newtonian evolution of massive black hole triplets in galactic nuclei -- III. A robust lower limit to the nHz stochastic background of gravitational waves
• Massive BH Binaries as Periodically-Variable AGN
• Measurements of pulse jitter and single-pulse variability in millisecond pulsars using MeerKAT
• The MeerKAT Pulsar Timing Array: The $4.5$-year data release and the noise and stochastic signals of the millisecond pulsar population
• The NANOGrav 11-Year Data Set: Evolution of Gravitational Wave Background Statistics
• The nightmare scenario: measuring the stochastic gravitational-wave background from stalling massive black-hole binaries with pulsar-timing arrays
• The NANOGrav Program for Gravitational Waves and Fundamental Physics
• Accurate characterization of the stochastic gravitational-wave background with pulsar timing arrays by likelihood reweighting
• Toward the unambiguous identification of supermassive binary black holes through Bayesian inference
• Probing the assembly history and dynamical evolution of massive black hole binaries with pulsar timing arrays
• The Nanohertz Gravitational Wave Astronomer
• Pulsar-timing measurement of the circular polarization of the stochastic gravitational-wave background
• Pulsar timing array signals induced by black hole binaries in relativistic eccentric orbits
• Spectral Variance in a Stochastic Gravitational-Wave Background From a Binary Population
• Ephemeris Errors and the Gravitational Wave Signal: Harmonic Mode Coupling in Pulsar Timing Array Searches
• Searching For Stochastic Gravitational Waves Below a Nanohertz
• Disentangling Multiple Stochastic Gravitational Wave Background Sources in PTA Datasets
• The NANOGrav 15 yr Data Set: Looking for Signs of Discreteness in the Gravitational-wave Background
• Power radiated by a binary system in a de Sitter Universe
• The Bardeen-Petterson effect in accreting supermassive black-hole binaries: a systematic approach
• How to Detect an Astrophysical Nanohertz Gravitational-Wave Background
• Spatial and Spectral Characterization of the Gravitational-wave Background with the PTA Optimal Statistic
• Discovering new forces with gravitational waves from supermassive black holes
• Review of Pulsar Timing Array for Gravitational Wave Research
• Neural Networks unveiling the properties of gravitational wave background from massive black hole binaries
• Posterior predictive checking for gravitational-wave detection with pulsar timing arrays: II. Posterior predictive distributions and pseudo Bayes factors
• Circumbinary discs from tidal disruption events
• Astrophysics with the Laser Interferometer Space Antenna
• Improving pulsar-timing solutions through dynamic pulse fitting
• Gravitational Waves, Extreme Astrophysics, and Fundamental Physics with Precision Pulsar Timing
• Statistics of the supermassive black hole gravitational wave background anisotropy
• The NANOGrav 15 yr data set: Posterior predictive checks for gravitational-wave detection with pulsar timing arrays
• Controlling Outlier Contamination In Multimessenger Time-domain Searches For Supermasssive Binary Black Holes
• Probing supermassive black hole scalarization with Pulsar Timing Arrays