The Merger Rate of Black Holes in a Primordial Black Hole Cluster

Abstract

In this paper, the merger rate of black holes in a cluster of primordial black holes (PBHs) is investigated. The clusters have characteristics close to those of typical globular star clusters. A cluster that has a wide mass spectrum ranging from $10^{-2}$ to $10M_{\odot }$ (Solar mass) and contains a massive central black hole of the mass $M_{\bullet }=10^3{M}_{\odot }$ is considered. It is shown that in the process of the evolution of cluster, the merger rate changed significantly, and by now, the PBH clusters have passed the stage of active merging of the black holes inside~them.

References in corpus (34)

• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• Laser Interferometer Space Antenna
• The merger rate of primordial-black-hole binaries
• Formation of Massive Black Holes in Dense Star Clusters. I. Mass Segregation and Core Collapse
• Stellar Processes Near the Massive Black Hole in the Galactic Center
• Gravitational Waves from Primordial Black Hole Mergers
• Post-Newtonian Dynamics in Dense Star Clusters: Formation, Masses, and Merger Rates of Highly-Eccentric Black Hole Binaries
• Post-Newtonian Dynamics in Dense Star Clusters: Highly-Eccentric, Highly-Spinning, and Repeated Binary Black Hole Mergers
• The Formation of Primary Galactic Nuclei during Phase Transitions in the Early Universe
• Lower bound on the primordial black hole merger rate
• Clusters of primordial black holes
• Primordial Structure of Massive Black Hole Clusters
• Runaway Merging of Black Holes: Analytical Constraint on the Timescale
• The Clustering Evolution of Primordial Black Holes
• The Spatial Clustering of Primordial Black Holes
• On the merger rate of primordial black holes: effects of nearest neighbours distribution and clustering
• Clustering of primordial black holes: Basic results
• Loss Cone Dynamics
• A new Fokker-Planck approach for relaxation-driven evolution of galactic nuclei
• Evolution of Nuclear Star Clusters
• The clustering dynamics of primordial black boles in $N$-body simulations
• Black Hole Mergers from Star Clusters with Top-Heavy Initial Mass Functions
• The star clusters that make black hole binaries across cosmic time
• MOCCA SURVEY Database I: Binary Black Hole Mergers from Globular Clusters with Intermediate Mass Black Holes
• The Astro-Primordial Black Hole Merger Rates: a Reappraisal
• Clustering of primordial black holes formed in a matter-dominated epoch
• Gravitational Encounters and the Evolution of Galactic Nuclei. I. Method
• Merger rates in primordial black hole clusters without initial binaries
• Star Clusters, Self-Interacting Dark Matter Halos and Black Hole Cusps: The Fluid Conduction Model and its Extension to General Relativity
• Gravothermal oscillations in multi-component models of star clusters
• Gravothermal oscillations in two-component models of star clusters
• Evaluating the Merger Rate of Binary Black Holes from Direct Captures and Third-Body Soft Interactions Using the Milky Way Globular Clusters
• Evolution of the cluster of primordial black holes within the Fokker-Planck approach
• Dynamical evolution of a cluster of primordial black holes

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• Influence of early dark matter halos on the primordial black holes merger rate
• Evolution of a black hole cluster in full general relativity
• Gravitational wave constraints on extended dark matter structures
• Hierarchical Merger of Primordial Black Holes in Dwarf Galaxies
• Dynamics and merger rate of primordial black holes in a cluster
• Gravitational Waves from Hyperbolic Encounters of Primordial Black Holes in Dwarf Galaxies