Evaluating the Merger Rate of Binary Black Holes from Direct Captures and Third-Body Soft Interactions Using the Milky Way Globular Clusters

Abstract

The multitude of binary black hole coalescence detections in gravitational waves has renewed our interest on environments that can be the cradle of these mergers. In this work we study merger rates of binary black holes in globular clusters that are among the most dense stellar environments and a natural place for the creation of black hole binaries. To model these systems with all their variations we rely on the observational properties of the known Milky Way globular clusters. We consider direct capture events between black holes, as well as soft interactions of black hole binaries with stars as third bodies that accelerate the evolution of these binaries. We find that binary black holes from direct captures merge at an averaged rate of $0.3-5\times 10^{-11}$ yr${}^{-1}$ per cluster. Third body soft interactions are a much more prominent channel giving an averaged rate of $2-4\times 10^{-10}$ yr${}^{-1}$ per cluster. Those rates in globular clusters can lead to a cumulative merger rate of about 100 mergers per year up to redshift of 1, i.e. a significant fraction of the detectable in the near future binary black hole coalescence events. Further observations of cluster properties both in terms of their masses, profile properties, velocity dispersion of stars and their cosmological distribution, will allow us to better constrain the contribution of these environments to the detectable coalescence events rate.

arXiv comment16 pages, 6 figures and 2 appendices

References in corpus (70)

• Planck 2015 results. XIII. Cosmological parameters
• Advanced LIGO
• The Initial Mass Function of Stars: Evidence for Uniformity in Variable Systems
• Did LIGO detect dark matter?
• Primordial Black Holes as Dark Matter
• A Comprehensive Study of Binary Compact Objects as Gravitational Wave Sources: Evolutionary Channels, Rates, and Physical Properties
• Binary Population and Spectral Synthesis Version 2.1: construction, observational verification and new results
• Primordial Black Hole Scenario for the Gravitational-Wave Event GW150914
• Binary Black Hole Population Properties Inferred from the First and Second Observing Runs of Advanced LIGO and Advanced Virgo
• The Eccentric Kozai-Lidov Effect and Its Applications
• Black hole mergers in the universe
• Binary Black Hole Mergers from Globular Clusters: Masses, Merger Rates, and the Impact of Stellar Evolution
• Gravitational waves from scattering of stellar-mass black holes in galactic nuclei
• Assisted Inspirals of Stellar Mass Black Holes Embedded in AGN Disks: Solving the "Final AU Problem"
• The dynamical evolution of massive black hole binaries - I. Hardening in a fixed stellar background
• Secular evolution of compact binaries near massive black holes: gravitational wave sources and other exotica
• Double Compact Objects II: Cosmological Merger Rates
• Extracting distribution parameters from multiple uncertain observations with selection biases
• Binary Black Hole Mergers from Globular Clusters: Implications for Advanced LIGO
• Merging black hole binaries in galactic nuclei: implications for advanced-LIGO detections
• Progenitors of gravitational wave mergers: Binary evolution with the stellar grid-based code ComBinE
• Formation of the first three gravitational-wave observations through isolated binary evolution
• Intermediate mass black holes in AGN disks: I. Production & Growth
• The progenitors of compact-object binaries: impact of metallicity, common envelope and natal kicks
• MOCCA-SURVEY Database I: Coalescing Binary Black Holes Originating From Globular Clusters
• Eccentric Black Hole Mergers Forming in Globular Clusters
• Binary Mergers and Growth of Black Holes in Dense Star Clusters
• Evolution of Binary Compact Objects Which Merge
• Merging black hole binaries with the SEVN code
• Stellar-mass black holes in star clusters: implications for gravitational wave radiation
• Distance measures in cosmology
• Are LIGO's Black Holes Made From Smaller Black Holes?
• Post-Newtonian Dynamics in Dense Star Clusters: Highly-Eccentric, Highly-Spinning, and Repeated Binary Black Hole Mergers
• Post-Newtonian Dynamics in Dense Star Clusters: Formation, Masses, and Merger Rates of Highly-Eccentric Black Hole Binaries
• Dynamics of stellar black holes in young star clusters with different metallicities - II. Black hole-black hole binaries
• Four-Body Effects in Globular Cluster Black Hole Coalescence
• Black hole growth through hierarchical black hole mergers in dense star clusters: implications for gravitational wave detections
• Interaction of massive black hole binaries with their stellar environment: I. Ejection of hypervelocity stars
• The cosmic merger rate of neutron stars and black holes
• The Evolution of Binary Fractions in Globular Clusters
• Compact Binaries in Star Clusters I - Black Hole Binaries Inside Globular Clusters
• Where are LIGO's Big Black Holes?
• Black hole mergers from an evolving population of globular clusters
• On the Rate of Neutron Star Binary Mergers from Globular Clusters
• Scattering experiments meet N-body I: a practical recipe for the evolution of massive black hole binaries in stellar environments
• Runaway Merging of Black Holes: Analytical Constraint on the Timescale
• Rates and Characteristics of Intermediate Mass Ratio Inspirals Detectable by Advanced LIGO
• Black hole genealogy: Identifying hierarchical mergers with gravitational waves
• Orbital eccentricities in primordial black holes binaries
• Black Hole Binaries Dynamically Formed in Globular Clusters
• Escape speed of stellar clusters from multiple-generation black-hole mergers in the upper mass gap
• The Black Hole Mass Function from Gravitational Wave Measurements
• Gravitational-wave detection rates for compact binaries formed in isolation: LIGO/Virgo O3 and beyond
• Dynamics of stellar black holes in young star clusters with different metallicities - I. Implications for X-ray binaries
• A comprehensive Nbody study of mass segregation in star clusters: Energy equipartition and escape
• Binary Black Hole Mergers from Globular Clusters: the Impact of Globular Cluster Properties
• Picky Partners: The Pairing of Component Masses in Binary Black Hole Mergers
• The mass gap, the spin gap, and the origin of merging binary black holes
• Comparison of dark energy models after Planck 2015
• Dynamical formation & scattering of hierarchical triples: Cross sections, Kozai-Lidov oscillations, and collisions
• Constraining the fraction of binary black holes formed in isolation and young star clusters with gravitational-wave data
• Single-single gravitational-wave captures in globular clusters: Eccentric deci-Hertz sources observable by DECIGO and Tian-Qin
• GW190412 as a Third-Generation Black Hole Merger from a Super Star Cluster
• Astrophysical implications of GW190412 as a remnant of a previous black-hole merger
• $N-$body dynamics of Intermediate mass-ratio inspirals in globular clusters
• Populating the Black Hole Mass Gaps In Stellar Clusters: General Relations and Upper Limits
• The lifetime of binary black holes in Sérsic galaxy models
• Limits on Runaway Growth of Intermediate Mass Black Holes from Advanced LIGO
• The black hole retention fraction in star clusters
• Evolution of Binaries in Dense Stellar Systems

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