The star clusters that make black hole binaries across cosmic time

Abstract

We explore the properties of dense star clusters that are likely to be the nurseries of stellar black holes pairing in close binaries. We combine a cosmological model of globular cluster formation with analytic prescriptions for the dynamical assembly and evolution of black hole binaries to constrain which types of clusters are most likely to form binaries tight enough to coalesce within a Hubble time. We find that black hole binaries which are ejected and later merge ex-situ form in clusters of a characteristic mass $M_{\mathrm{cl}}\sim 10^{5.3}{M}_{\odot }$, whereas binaries which merge in-situ form in more massive clusters, $M_{\mathrm{cl}}\sim 10^{5.7}{M}_{\odot }$. The clusters which dominate the production of black hole binaries are similar in age and metallicity to the entire population. Finally, we estimate an approximate cosmic black hole merger rate of dynamically assembled binaries using the mean black hole mass for each cluster given its metallicity. We find an intrinsic rate of $\sim 6\mathrm{Gpc}\mathrm{y}{\mathrm{r}}^{-1}$ at $z=0$, a weakly increasing merger rate out to $z=1.5$, and then a decrease out to $z=4$. Our results can be used to provide a cosmological context and choose initial conditions in numerical studies of black hole binaries assembled in star clusters.

arXiv comment15 pages, 12 figures. Updated to match ApJ accepted version. Minor edits to text relative to v1

References in corpus (68)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• On the variation of the Initial Mass Function
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• The Formation of Galactic Disks
• Properties of galaxies reproduced by a hydrodynamic simulation
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Young massive star clusters
• Common Envelope Evolution: Where we stand and how we can move forward
• The first gravitational-wave source from the isolated evolution of two 40-100 Msun stars
• Double Compact Objects I: The Significance Of The Common Envelope On Merger Rates
• Black hole mergers in the universe
• On The Maximum Mass of Stellar Black Holes
• A new route towards merging massive black holes
• Binary Black Hole Mergers from Globular Clusters: Masses, Merger Rates, and the Impact of Stellar Evolution
• Merging binary black holes formed through chemically homogeneous evolution in short-period stellar binaries
• The Illustris Simulation: Public Data Release
• The dynamical evolution of massive black hole binaries - I. Hardening in a fixed stellar background
• Production of Intermediate-Mass Black Holes in Globular Clusters
• The Evolution of Compact Binary Star Systems
• The Origin and Evolution of the Galaxy Mass-Metallicity Relation
• Binary Black Hole Mergers from Globular Clusters: Implications for Advanced LIGO
• Dynamical Evolution of the Mass Function of Globular Star Clusters
• The chemically homogeneous evolutionary channel for binary black hole mergers: rates and properties of gravitational-wave events detectable by advanced LIGO
• Formation of Massive Black Holes in Dense Star Clusters. I. Mass Segregation and Core Collapse
• Merging black hole binaries in galactic nuclei: implications for advanced-LIGO detections
• Very massive stars, pair-instability supernovae and intermediate-mass black holes with the SEVN code
• Modeling the Metallicity Distribution of Globular Clusters
• Formation of globular clusters in hierarchical cosmology
• The effect of metallicity on the detection prospects for gravitational waves
• Globular clusters as the relics of regular star formation in 'normal' high-redshift galaxies
• The Dynamical Evolution of Stellar Black Holes in Globular Clusters
• Dynamical Formation of the GW150914 Binary Black Hole
• Halo and Subhalo Demographics with Planck Cosmological Parameters: Bolshoi-Planck and MultiDark-Planck Simulations
• The E-MOSAICS Project: simulating the formation and co-evolution of galaxies and their star cluster populations
• Dynamical evolution of black hole sub-systems in idealised star clusters
• Dissipationless Formation and Evolution of the Milky Way Nuclear Star Cluster
• Co-Evolution of Galactic Nuclei and Globular Cluster Systems
• Effects of Tidal Shocks on the Evolution of Globular Clusters
• Relativistic Binaries in Globular Clusters
• Black hole mergers from an evolving population of globular clusters
• Mergers of Stellar-Mass Black Holes in Nuclear Star Clusters
• Low-frequency gravitational waves from supermassive black holes
• The formation and hierarchical assembly of globular cluster populations
• Lifetimes of tidally limited star clusters with different radii
• Stellar Clusters in M83: Formation, evolution, disruption and the influence of environment
• Origin and growth of nuclear star clusters around massive black holes
• Redshift Evolution of the Black Hole Merger Rate from Globular Clusters
• Black Hole Binaries Dynamically Formed in Globular Clusters
• Compact Binaries Ejected from Globular Clusters as GW Sources
• Formation of Globular Cluster Systems: From Dwarf Galaxies to Giants
• Binary Black Holes in Dense Star Clusters: Exploring the Theoretical Uncertainties
• Massive Black Hole Binary Inspirals: Results from the LISA Parameter Estimation Taskforce
• Monte Carlo Simulations of Globular Cluster Evolution. V. Binary Stellar Evolution
• Evolution of Galactic Nuclei with 10 $M_{\odot }$ Black Holes
• Dynamical Formation of Low-Mass Merging Black Hole Binaries like GW151226
• Effective Radii of Young, Massive Star Clusters in Two LEGUS Galaxies
• Binary Black Hole Mergers from Globular Clusters: the Impact of Globular Cluster Properties
• Self-consistent simulations of Nuclear Cluster formation through Globular Cluster orbital decay and merging
• Merging of globular clusters within inner galactic regions. II. The Nuclear Star Cluster formation
• Understanding the Dynamical State of Globular Clusters: Core-Collapsed vs Non Core-Collapsed
• Dynamical Interactions and the Black Hole Merger Rate of the Universe
• Thermal and Dynamical Equilibrium in Two-Component Star Clusters
• On black hole sub-systems in idealized nuclear star clusters
• Mass loss and stellar superwinds
• A Dynamical Potential-Density Pair for Star Clusters With Nearly Isothermal Interiors
• Young Massive Clusters: Their Population Properties, Formation and Evolution, and Their Relation to the Ancient Globular Clusters

Cited by in corpus (38)

• Nuclear Star Clusters
• The evolutionary roads leading to low effective spins, high black hole masses, and O1/O2 rates of LIGO/Virgo binary black holes
• Black Holes: The Next Generation -- Repeated Mergers in Dense Star Clusters and their Gravitational-Wave Properties
• Rates of Compact Object Coalescences
• Black hole growth through hierarchical black hole mergers in dense star clusters: implications for gravitational wave detections
• Black hole and neutron star mergers in galactic nuclei
• The cosmic merger rate density of compact objects: impact of star formation, metallicity, initial mass function and binary evolution
• Hierarchical black hole mergers in young, globular and nuclear star clusters: the effect of metallicity, spin and cluster properties
• The redshift evolution of the binary black hole merger rate: a weighty matter
• On the Rate of Neutron Star Binary Mergers from Globular Clusters
• Binary black holes in young star clusters: the impact of metallicity
• Black hole mergers from quadruples
• The Cosmic Evolution of Binary Black Holes in Young, Globular and Nuclear Star Clusters: Rates, Masses, Spins and Mixing Fractions
• Distinguishing Primordial Black Holes from Astrophysical Black Holes by Einstein Telescope and Cosmic Explorer
• The cosmic merger rate density evolution of compact binaries formed in young star clusters and in isolated binaries
• Population synthesis of black hole binary mergers from star clusters
• The Science of the Einstein Telescope
• Repeated mergers, mass-gap black holes, and formation of intermediate-mass black holes in nuclear star clusters
• Merger rate of black hole binaries from globular clusters: theoretical error bars and comparison to gravitational wave data from GWTC-2
• Dynamics of black hole - neutron star binaries in young star clusters
• The mass gap, the spin gap, and the origin of merging binary black holes
• The Population III origin of GW190521
• Single-single gravitational-wave captures in globular clusters: Eccentric deci-Hertz sources observable by DECIGO and Tian-Qin
• The merger history of primordial-black-hole binaries
• MOCCA SURVEY Database I: Binary Black Hole Mergers from Globular Clusters with Intermediate Mass Black Holes
• Evidence for the evolution of black hole mass function with redshift
• The Effect of Distant Encounters on Black Hole Binaries in Globular Clusters: Systematic Increase of In-cluster Mergers in the LISA band
• Exploring compact binary merger host galaxies and environments with $\mathrm{zELDA}$
• Demographics of neutron stars in young massive and open clusters
• Globular cluster formation histories, masses and radii inferred from gravitational waves
• Gravitational waves from the remnants of the first stars in nuclear star clusters
• On the initial mass-radius relation of stellar clusters
• Intermediate mass black holes in globular clusters: effects on jerks and jounces of millisecond pulsars
• Evolution of a black hole cluster in full general relativity
• New insights on binary black hole formation channels after GWTC-2: young star clusters versus isolated binaries
• The Merger Rate of Black Holes in a Primordial Black Hole Cluster
• Bulge Fossil Fragments as a new population of factories of gravitational wave sources in the Galaxy
• Identifying Host Galaxies of Binary Black Hole Mergers with Next-Generation Gravitational Wave Detector Networks