Globular cluster formation histories, masses and radii inferred from gravitational waves

Abstract

Globular clusters (GCs) are found in all types of galaxies and harbor some of the most extreme stellar systems, including black holes that may dynamically assemble into merging binaries (BBHs). Uncertain GC properties, including when they formed, their initial masses and sizes, affect their production rate of BBH mergers. Using the gravitational-wave catalog GWTC-3, we measure that dynamically-assembled BBHs -- those that are consistent with isotropic spin directions -- make up $61_{-44}^{+29}\%$ of the total merger rate, with a local merger rate of $10.9_{-9.3}^{+16.8}$ Gpc${}^{-3}$ yr${}^{-1}$ rising to $58.9_{-46.0}^{+149.4}$ Gpc${}^{-3}$ yr${}^{-1}$ at $z=1$. We assume this inferred rate describes the contribution from GCs and compare it against the Cluster Monte Carlo (CMC) simulation catalog to directly fit for the GC initial mass function, virial radius distribution, and formation history. We find that GC initial masses are consistent with a Schechter function with slope ${\beta }_m=-1.9_{-0.8}^{+0.8}$. Assuming a mass function slope of ${\beta }_m=-2$ and a mass range between $10^4$--$10^8{M}_{\odot }$, we infer a GC formation rate at $z=2$ of $5.0_{-4.0}^{+9.4}$ Gpc${}^{-3}$ yr${}^{-1}$, or $2.1_{-1.7}^{+3.9}\times 10^6{M}_{\odot }$ Gpc${}^{-3}$ yr${}^{-1}$ in terms of mass density. We find that the GC formation rate probably rises more steeply than the global star formation rate between $z=0$ and $z=3$ ({82\%} credibility) and implies a local number density that is $f_{\mathrm{ev}}=22.6_{-16.2}^{+29.9}$ times higher than the observed density of survived GCs. This is consistent with expectations for cluster evaporation, but may suggest that other environments contribute to the rate of BBH mergers with significantly tilted spins.

arXiv comment7 pages + 5 pages Appendix, 9 figures. Updated to match version accepted by MNRAS

References in corpus (49)

• On the variation of the Initial Mass Function
• Evolution of binary stars and the effect of tides on binary populations
• Comprehensive analytic formulae for stellar evolution as a function of mass and metallicity
• A statistical study of 233 pulsar proper motions
• Science Case for the Einstein Telescope
• Young massive star clusters
• Compact Remnant Mass Function: Dependence on the Explosion Mechanism and Metallicity
• Extragalactic Globular Clusters and Galaxy Formation
• Open data from the first and second observing runs of Advanced LIGO and Advanced Virgo
• Gravitational waves from scattering of stellar-mass black holes in galactic nuclei
• The Effect of Pair-Instability Mass Loss on Black Hole Mergers
• The Mass Function of Young Star Clusters in the "Antennae" Galaxies
• MOCCA-SURVEY Database I: Coalescing Binary Black Holes Originating From Globular Clusters
• Formation and evolution of compact binaries in globular clusters: II. Binaries with neutron stars
• Black Hole Mergers in Galactic Nuclei Induced by the Eccentric Kozai-Lidov Effect
• What is a globular cluster? An observational perspective
• Paving the way for the JWST: witnessing globular cluster formation at z>3
• Greatly enhanced merger rates of compact-object binaries in non-spherical nuclear star clusters
• A Horizon Study for Cosmic Explorer: Science, Observatories, and Community
• Effective one body multipolar waveform model for spin-aligned, quasi-circular, eccentric, hyperbolic black hole binaries
• A Triple Origin for the Heavy and Low-Spin Binary Black Holes Detected by LIGO/Virgo
• 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
• Four eccentric mergers increase the evidence that LIGO--Virgo--KAGRA's binary black holes form dynamically
• Super Star Cluster Velocity Dispersions and Virial Masses in the M82 Nuclear Starburst
• Modeling Dense Star Clusters in the Milky Way and Beyond with the Cluster Monte Carlo Code
• Population synthesis of black hole binary mergers from star clusters
• Intermediate-mass Black Holes from High Massive-star Binary Fractions in Young Star Clusters
• On the mass-radius relation of hot stellar systems
• Observational evidence for a truncation of the star cluster initial mass function at the high mass end
• Validating the Effective-One-Body Numerical-Relativity Waveform Models for Spin-aligned Binary Black Holes along Eccentric Orbits
• Millisecond Pulsars and Black Holes in Globular Clusters
• Merger rate of black hole binaries from globular clusters: theoretical error bars and comparison to gravitational wave data from GWTC-2
• Eccentricity or spin precession? Distinguishing subdominant effects in gravitational-wave data
• The Sparkler: Evolved High-Redshift Globular Clusters Captured by JWST
• Finding Forming Globular Clusters at High Redshifts
• Does Matter Matter? Using the mass distribution to distinguish neutron stars and black holes
• Early results from GLASS-JWST. VII: evidence for lensed, gravitationally bound proto-globular clusters at z=4 in the Hubble Frontier Field A2744
• Order in the chaos: eccentric black hole binary mergers in triples formed via strong binary-binary scatterings
• The population properties of spinning black holes using Gravitational-wave Transient Catalog 3
• The star clusters that make black hole binaries across cosmic time
• Effective spin distribution of black hole mergers in triples
• Limits on hierarchical black hole mergers from the most negative ${\chi }_{\mathrm{eff}}$ systems
• The Observed Rate of Binary Black Hole Mergers can be Entirely Explained by Globular Clusters
• Symmetry Breaking in Dynamical Encounters in the Disks of Active Galactic Nuclei
• The kinematics of globular cluster populations in the E-MOSAICS simulations and their implications for the assembly history of the Milky Way
• Low-mass X-ray binaries from black-hole retaining globular clusters
• Globular Clusters at High Redshift
• A Thesaurus for Common Priors in Gravitational-Wave Astronomy
• Chemical evolution of the Universe and its consequences for gravitational-wave astrophysics

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• Inferring host-galaxy properties of LIGO-Virgo-KAGRA's black holes
• LIGO-Virgo-KAGRA's Oldest Black Holes: Probing star formation at cosmic noon with GWTC-3
• Exploring the evolution of gravitational-wave emitters with efficient emulation: Constraining the origins of binary black holes using normalising flows
• Accelerated binary black holes in globular clusters: forecasts and detectability in the era of space-based gravitational-wave detectors
• The steep redshift evolution of the hierarchical binary black hole merger rate may cause the $z$-${\chi }_{\mathrm{eff}}$ correlation
• Predicting the rate of fast radio bursts in globular clusters from binary black hole observations
• Great Balls of FIRE IV. The contribution of massive star clusters to the astrophysical population of merging binary black holes
• Probing cosmic chemical enrichment with next-generation gravitational-wave observatories
• Mass Distribution of Binary Black Hole Mergers from Young and Old Dense Star Clusters
• Interactions among binary black holes in star clusters: Eccentric gravitational wave captures and triple formation
• Single-event likelihood of star cluster properties with LIGO-Virgo-Kagra binary black hole observations
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