N-body modeling of globular clusters: Masses, mass-to-light ratios and intermediate-mass black holes

Abstract

We have determined the masses and mass-to-light ratios of 50 Galactic globular clusters by comparing their velocity dispersion and surface brightness profiles against a large grid of 900 N-body simulations of star clusters of varying initial concentration, size and central black hole mass fraction. Our models follow the evolution of the clusters under the combined effects of stellar evolution and two-body relaxation allowing us to take the effects of mass segregation and energy equipartition between stars self-consistently into account. For a subset of 16 well observed clusters we also derive their kinematic distances. We find an average mass-to-light ratio of Galactic globular clusters of $<M/L_V>=1.98\pm 0.03$, which agrees very well with the expected M/L ratio if the initial mass function of the clusters was a standard Kroupa or Chabrier mass function. We do not find evidence for a decrease of the average mass-to-light ratio with metallicity. The surface brightness and velocity dispersion profiles of most globular clusters are incompatible with the presence of intermediate-mass black holes (IMBHs) with more than a few thousand $M_{\odot }$ in them. The only clear exception is $\omega$ Cen, where the velocity dispersion profile provides strong evidence for the presence of a $\sim$40,000 $M_{\odot }$ IMBH in the centre of the cluster.

31 pages, 21 figures, accepted for publication in MNRAS

References in corpus (45)

• The Dartmouth Stellar Evolution Database
• The ACS Survey of Galactic Globular Clusters. I. Overview and Clusters Without Previous HST Photometry
• MOCCA-SURVEY Database I: Coalescing Binary Black Holes Originating From Globular Clusters
• The Initial-Final Mass Relation: Direct Constraints at the Low Mass End
• The SEGUE Stellar Parameter Pipeline. II. Validation with Galactic Globular and Open Clusters
• Gemini and Hubble Space Telescope Evidence for an Intermediate Mass Black Hole in omega Centauri
• The nucleus of the Sagittarius dSph galaxy and M54: a window on the process of galaxy nucleation
• Analysis and calibration of CaII triplet spectroscopy of Red Giant Branch stars from VLT/FLAMES observations
• HST Proper Motions and Stellar Dynamics in the Core of the Globular Cluster 47 Tucanae
• Near-IR properties of 24 Globular Clusters in the Galactic Bulge
• Iron and s-elements abundance variations in NGC5286: comparison with anomalous globular clusters and Milky Way satellites
• Surface Brightness Profiles of Galactic Globular Clusters from Hubble Space Telescope Images
• The SEGUE Stellar Parameter Pipeline. IV. Validation with an Extended Sample of Galactic Globular and Open Clusters
• Hubble Space Telescope proper motion (HSTPROMO) catalogs of Galactic globular clusters. II. Kinematic profiles and maps
• Why haven't loose globular clusters collapsed yet?
• Dynamical masses of ultra-compact dwarf galaxies in Fornax
• Measuring Consistent Masses for 25 Milky Way Globular Clusters
• Na-O Anticorrelation and HB. II. The Na-O anticorrelation in the globular cluster NGC 6752
• The effect of stellar-mass black holes on the structural evolution of massive star clusters
• Density and kinematic cusps in M54 at the heart of the Sagittarius dwarf galaxy: evidence for a 10^4 M_sun Black Hole?
• The metallicity spread and the age-metallicity relation of Omega Centauri
• A stellar-mass black hole population in the globular cluster NGC 6101?
• The Rotation of Sub-Populations in omega Centauri
• Fe and Al Abundances for 180 Red Giants in the Globular Cluster Omega Centauri (NGC 5139)
• The Gaia-ESO Survey: Kinematics of seven Galactic globular clusters
• Na-O Anticorrelation and HB. IV. Detection of He-rich and He-poor stellar populations in the globular cluster NGC 6218
• Monte Carlo Simulations of Star Clusters - VI. The globular cluster NGC 6397
• The origin of the spurious iron spread in the globular cluster NGC 3201
• Lithium abundances in globular cluster giants: NGC 1904, NGC 2808, and NGC 362
• Chandra and Swift Follow-up Observations of the Intermediate Mass Black Hole in ESO243-49
• Biases in the inferred mass-to-light ratio of globular clusters: no need for variations in the stellar mass function
• Using globular clusters to test gravity in the weak acceleration regime: NGC 7099
• Absolute motions of globular clusters. II. [HST astrometry and VLT radial velocities in NGC6397]
• A study of rotating globular clusters - the case of the old, metal-poor globular cluster NGC 4372
• The central dynamics of M3, M13, and M92: Stringent limits on the masses of intermediate-mass black holes
• The Na-O anticorrelation in horizontal branch stars. V. NGC 6723
• The surface brightness profile of the remote cluster NGC 2419
• Mass Outflow and Chromospheric Activity of Red Giant Stars in Globular Clusters II. M13 and M92
• The Global Kinematics of the Globular Cluster M92
• Light-Element Abundances of Giant Stars in the Globular Cluster M71 (NGC 6838)
• Evidence for Two Distinct Stellar Initial Mass Functions : Probing for Clues to the Dichotomy
• Chemical Abundances in NGC 5053: A Very Metal-Poor and Dynamically Complex Globular Cluster
• Using globular clusters to test gravity in the weak acceleration regime
• Radial velocities from VLT-KMOS spectra of giant stars in the globular cluster NGC 6388
• Kinematics of a globular cluster with an extended profile: NGC5694

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• Accurate distances to Galactic globular clusters through a combination of Gaia EDR3, HST and literature data
• Very massive stars, pair-instability supernovae and intermediate-mass black holes with the SEVN code
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• A stellar census in globular clusters with MUSE: The contribution of rotation to cluster dynamics studied with 200 000 stars
• Stellar-mass black holes in young massive and open stellar clusters and their role in gravitational-wave generation
• Stellar-mass black holes in young massive and open stellar clusters and their role in gravitational-wave generation II
• The eye of Gaia on globular clusters kinematics: internal rotation
• A Low-Mass Stellar-Debris Stream Associated with a Globular Cluster Pair in the Halo
• Globular cluster number density profiles using Gaia DR2
• The Accreted Nuclear Clusters of the Milky Way
• The global mass functions of 35 Galactic globular clusters: I. Observational data and correlations with cluster parameters
• Hubble Space Telescope Proper Motion (HSTPROMO) Catalogs of Galactic Globular Clusters. V. The rapid rotation of 47 Tuc traced and modeled in three dimensions
• A deep view into the nucleus of the Sagittarius Dwarf Spheroidal Galaxy with MUSE. I. Data and stellar population characterization
• Evidence for a bottom-light initial mass function in massive star clusters
• The Relationship Between Globular Cluster Mass, Metallicity, and Light Element Abundance Variations
• The Global Mass Functions of 35 Galactic globular clusters: II. Clues on the Initial Mass Function and Black Hole Retention Fraction
• Purveyors of fine halos: Re-assessing globular cluster contributions to the Milky Way halo build-up with SDSS-IV
• Simulations predict intermediate-mass black hole formation in globular clusters
• Gravitational wave of intermediate-mass black holes in Population III star clusters
• Stellar mass segregation as separating classifier between globular clusters and ultra-faint dwarf galaxies
• The dynamics of the globular cluster NGC3201 out to the Jacobi radius
• Discovery of Millisecond Pulsars in the Globular Cluster Omega Centauri
• Spherical models of star clusters with potential escapers
• ESO452-SC11: The lowest mass globular cluster with a potential chemical inhomogeneity
• A metal-poor ultra compact dwarf galaxy at a kiloparsec distance from the low-mass elliptical galaxy FCC47
• Dynamical modelling of globular clusters: challenges for the robust determination of IMBH candidates
• The peculiar kinematics of the multiple populations in the globular cluster Messier 80 (NGC 6093)
• Multimass modelling of Milky Way globular clusters -- I. Implications on their stellar initial mass function above 1 M${}_{\odot }$
• The Lifetimes of Star Clusters Born with a Top-heavy IMF
• Evidence of non-luminous matter in the center of M62
• The accretion history of the Milky Way. I. How it shapes globular clusters and dwarf galaxies
• An elusive dark central mass in the globular cluster M4
• Efficiency of black hole formation via collisions in stellar systems: An analysis of data from simulations and observations
• The WAGGS project -- III. Discrepant mass-to-light ratios of Galactic globular clusters at high metallicity
• A Deep View into the Nucleus of the Sagittarius Dwarf Spheroidal Galaxy with MUSE. III. Discrete multi-component population-dynamical models based on the Jeans equations
• The luminosity function of quasars by the Principle of Maximum Entropy
• Intermediate-Mass Black Holes in binary-rich star clusters
• Central kinematics of the Galactic globular cluster M80
• Towards Realistic Modeling of the Astrometric Capabilities of MCAO Systems: Detecting an Intermediate Mass Black Hole with MAVIS
• Impact of Radiation Feedback on the Formation of Globular Cluster Candidates during Cloud-Cloud Collisions
• Radio timing in a millisecond pulsar-extreme/intermediate mass ratio binary system
• Millisecond Pulsars in Dense Star Clusters: Evolution, Scaling Relations, and the Galactic-Center Gamma-ray Excess
• Accessing Intermediate-Mass Black Holes in 728 Globular Star Clusters in NGC\,4472
• Timing of millisecond pulsars in NGC\,6752 -- III. On the presence of non-luminous matter in the cluster's core
• Estimate of the Mass and Radial Profile of the Orphan-Chenab Stream's Dwarf Galaxy Progenitor Using MilkyWay@home
• How the dynamical properties of globular clusters impact their $\gamma$-ray and X-ray emission
• Investigating Dynamical Properties of Globular Clusters through a Family of Lowered Isothermal Models
• When did the initial mass function become bottom-heavy?
• Predicting Images for the Dynamics Of stellar Clusters (π-DOC): a deep learning framework to predict mass, distance and age of globular clusters
• Search of Intermediate Mass Black Holes at Low Redshift with Intra-night Variability