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

Stasenko, Viktor D.; Кириллов, А. А.

doi:10.3390/physics3020026

Cited by 6 publications

(3 citation statements)

References 117 publications

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“…Observation of an enhancement of a merger rate through gravitational waves with increasing redshift would support PBH cluster hypothesis. The calculation details of the merger rate for the PBH cluster with a spectrum mass are described in [69].…”

Section: The Merging Of Primordial Black Holesmentioning

confidence: 99%

Dynamics and Merger Rate of Primordial Black Holes in a Cluster

2022

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The PBH clusters can be sources of gravitational waves, and the merger rate depends on the spatial distribution of PBHs in the cluster which changes over time. It is well known that gravitational collisional systems experience the core collapse that leads to significant increase of the central density and shrinking of the core. After core collapse, the cluster expands almost self-similarly (i.e., density profile extends in size without changing its shape). These dynamic processes affect the merger rate of PBHs. In this paper, the dynamics of the PBH cluster is considered using the Fokker–Planck equation. We calculate the merger rate of PBHs on cosmic time scales and show that its time dependence has a unique signature. Namely, it grows by about an order of magnitude at the moment of core collapse which depends on the characteristics of the cluster, and then decreases according to the dependence R∝t−1.48. It was obtained for monochromatic and power-law PBH mass distributions with some fixed parameters. Obtained results can be used to test the model of the PBH clusters via observation of gravitational waves at high redshift.

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Section: The Merging Of Primordial Black Holesmentioning

confidence: 99%

Dynamics and Merger Rate of Primordial Black Holes in a Cluster

2022

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“…An approximate analytic expression for the merger rate in this case is estimated from the Fokker-Planck equation, in particular, from the terms that account for the loss and gain of BHs due to mergers with other BHs [67] (see also [69]). Once the velocities take the rms value, this can be expressed as…”

Section: Jcap09(2022)034mentioning

confidence: 99%

Hierarchical merger of primordial black holes in dwarf galaxies

Erfani

Gomez-Aguilar

Hidalgo

2022

J. Cosmol. Astropart. Phys.

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We study the merger history of primordial black holes (PBHs) in a scenario where they represent the dominant dark matter component of a typical dwarf galaxies' core. We investigate the possibility of a sequence of collisions resulting in a hierarchical merger of black holes, and look at the final mass spectrum in such clusters, which initially present a monochromatic (single-mass) PBH population. Our study shows that the merging process results in the transfer of about 40% of the total mass of the core to the merger products regardless of the initial mass of PBHs, with about 5% of energy radiated out in the form of gravitational waves. We find that, in the lighter mass limit, black holes up to eight times more massive than the original population can be formed within a Hubble time.

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Section: The Merging Of Primordial Black Holesmentioning

confidence: 99%

Dynamics and merger rate of primordial black holes in a cluster

Stasenko,

Kirillov,

Belotsky

2021

Preprint

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The PBHs clusters can be source of gravitational waves, and the merger rate depends on the spatial distribution of PBHs in the cluster which changes over time. It is well known that gravitational collisional systems experience the core collapse, that leads to significantly increase of the central density and shrinking of the core. After core collapse, the cluster expands almost self-similarly (i.e. density profile extends in size without changing its shape). These dynamic processes affect at the merger rate of PBHs. In this paper the dynamics of the PBH cluster is considered using the Fokker-Planck equation. We calculate the merger rate of PBHs on cosmic time scales and show that its time dependence has a unique signature. Namely, it grows by about an order of magnitude at the moment of core collapse which depends on the characteristic of the cluster, and then decreases according to the dependence R ∝ t −1.48 . It was obtained for monochromatic and power-law PBH mass distributions with some fixed parameters. Obtained results can be used to test the model of the PBH clusters via observation of gravitational waves at high redshift.

show abstract

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

Cited by 6 publications

References 117 publications

Dynamics and Merger Rate of Primordial Black Holes in a Cluster

Dynamics and Merger Rate of Primordial Black Holes in a Cluster

Hierarchical merger of primordial black holes in dwarf galaxies

Dynamics and merger rate of primordial black holes in a cluster

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