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.
Highlights
The idea that primordial black holes (PBHs) could form in the early Universe was proposed in [1]
A massive black hole appears in the cluster center
It is seen that at the first moment of the evolution, the heavy PBHs are compressed towards the center, but the cluster expands according to r ∝ t2/3
Summary
The idea that primordial black holes (PBHs) could form in the early Universe was proposed in [1]. The mass of the central BH (CBH) is much less than the mass of the cluster. We use the Fokker-Planck equation in order to study the dynamic of PBHs in the cluster. Unlike star clusters, clusters have a wide mass distribution and contain a CBH.
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