Evolution of the cluster of primordial black holes within the Fokker-Planck approach

Abstract

The calculation results of the evolution of the cluster of primordial black holes based on the Fokker-Planck equation with neglecting of the gas accretion onto black holes are presented. In addition, we consider how a massive black hole located within the cluster center affects on its evolution. Despite it creates an additional potential in the central region of the cluster and might capture surrounding black holes, a negligible growth rate of a central black hole was shown for 1 Gyr. Furthermore, we find a significant (approximately tenfold) expansion of the cluster.

References in corpus (6)

• Primordial Black Holes
• The Formation of Primary Galactic Nuclei during Phase Transitions in the Early Universe
• Signatures of primordial black hole dark matter
• Clusters of primordial black holes
• Primordial Structure of Massive Black Hole Clusters
• A new Fokker-Planck approach for relaxation-driven evolution of galactic nuclei

Cited by in corpus (1)

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