Neural Networks unveiling the properties of gravitational wave background from massive black hole binaries

Abstract

Massive black hole binaries (MBHBs) are binary systems formed by black holes with mass exceeding millions of solar masses, expected to form and evolve in the nuclei of galaxies. The extreme compact nature of such objects determines a loud and efficient emission of Gravitational Waves (GWs), which can be detected by the Pulsar Timing Array (PTA) experiment in the form of a Gravitational Wave Background (GWB), i.e. a superposition of GW signals coming from different sources. The modelling of the GWB requires some assumptions on the binary population and the exploration of the whole involved parameter space is prohibitive as it is computationally expensive. We here train a Neural Network (NN) model on a semi-analytical modelling of the GWB generated by an eccentric population of MBHBs that interact with the stellar environment. We then use the NN to predict the characteristics of the GW signal in regions of the parameter space that we did not sample analytically. The developed framework allows us to quickly predict the level, shape and variance of the GWB signals produced in different universe realisations.

arXiv comment8 pages, submitted to A&A

References in corpus (40)

• The NANOGrav 15-year Data Set: Evidence for a Gravitational-Wave Background
• Search for an isotropic gravitational-wave background with the Parkes Pulsar Timing Array
• The second data release from the European Pulsar Timing Array III. Search for gravitational wave signals
• The Assembly and Merging History of Supermassive Black Holes in Hierarchical Models of Galaxy Formation
• The NANOGrav 15-year Data Set: Search for Signals from New Physics
• European Pulsar Timing Array Limits On An Isotropic Stochastic Gravitational-Wave Background
• The stochastic gravitational-wave background from massive black hole binary systems: implications for observations with Pulsar Timing Arrays
• Science with the space-based interferometer eLISA. I: Supermassive black hole binaries
• The International Pulsar Timing Array: First Data Release
• The NANOGrav 15-year Data Set: Constraints on Supermassive Black Hole Binaries from the Gravitational Wave Background
• The NANOGrav 15-year Data Set: Observations and Timing of 68 Millisecond Pulsars
• Upper bounds on the low-frequency stochastic gravitational wave background from pulsar timing observations: current limits and future prospects
• The second data release from the European Pulsar Timing Array I. The dataset and timing analysis
• Long Term Evolution of Massive Black Hole Binaries
• Gravitational waves from resolvable massive black hole binary systems and observations with Pulsar Timing Arrays
• Massive Black Hole Binary Mergers in Dynamical Galactic Environments
• Systematic investigation of the expected gravitational wave signal from supermassive black hole binaries in the pulsar timing band
• Massive binary black holes in galactic nuclei and their path to coalescence
• The Gravitational Wave Background from Massive Black Hole Binaries in Illustris: spectral features and time to detection with pulsar timing arrays
• Gas driven massive black hole binaries: signatures in the nHz gravitational wave background
• Massive black hole binaries: dynamical evolution and observational signatures
• Post-Newtonian Evolution of Massive Black Hole Triplets in Galactic Nuclei: IV. Implications for LISA
• The NANOGrav 15-Year Data Set: Detector Characterization and Noise Budget
• Scattering experiments meet N-body I: a practical recipe for the evolution of massive black hole binaries in stellar environments
• Resolving multiple supermassive black hole binaries with pulsar timing arrays
• Single Sources in the Low-Frequency Gravitational Wave Sky: properties and time to detection by pulsar timing arrays
• The hierarchical assembly of galaxies and black holes in the first billion years: predictions for the era of gravitational wave astronomy
• Massive black hole merger rates: the effect of kpc separation wandering and supernova feedback
• Does a 'stochastic' background of gravitational waves exist in the pulsar timing band?
• Dancing to ChaNGa: A Self-Consistent Prediction For Close SMBH Pair Formation Timescales Following Galaxy Mergers
• The second data release from the European Pulsar Timing Array II. Customised pulsar noise models for spatially correlated gravitational waves
• Collisionless loss-cone refilling: there is no final parsec problem
• Binary super-massive black hole environments diminish the gravitational-wave signal in the pulsar timing band
• Triplets of supermassive black holes: Astrophysics, Gravitational Waves and Detection
• The second data release from the European Pulsar Timing Array: VI. Challenging the ultralight dark matter paradigm
• Constraints On The Dynamical Environments Of Supermassive Black-hole Binaries Using Pulsar-timing Arrays
• Efficient computation of the gravitational wave spectrum emitted by eccentric massive black hole binaries in stellar environments
• Dynamical evolution of cosmic supermassive binary black holes and their gravitational wave radiation
• Unveiling early black hole growth with multi-frequency gravitational wave observations
• Astrophysical constraints on massive black hole binary evolution from Pulsar Timing Arrays

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• Graph-based Summary Statistics for Revealing the Stochastic Gravitational Wave Background in Pulsar Timing Arrays