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Dynamics and Merger Rate of Primordial Black Holes in a Cluster

1
Moscow Engineering Physics Institute, National Research Nuclear University MEPhI, Kashirskoe Shosse 31, 115409 Moscow, Russia
2
Institute of Physics, Southern Federal University, Stachki 194, 344090 Rostov on Don, Russia
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Academic Editor: Lorenzo Iorio
Universe 2022, 8(1), 41; https://doi.org/10.3390/universe8010041
Received: 26 November 2021 / Revised: 28 December 2021 / Accepted: 5 January 2022 / Published: 11 January 2022
(This article belongs to the Special Issue Project of the Virtual Institute of Astroparticle Physics (VIA))
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 Rt1.48. 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. View Full-Text
Keywords: cluster of primordial black holes; gravitational waves; merger rate; Fokker-Planck equation cluster of primordial black holes; gravitational waves; merger rate; Fokker-Planck equation
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MDPI and ACS Style

Stasenko, V.D.; Kirillov, A.A.; Belotsky, K.M. Dynamics and Merger Rate of Primordial Black Holes in a Cluster. Universe 2022, 8, 41. https://doi.org/10.3390/universe8010041

AMA Style

Stasenko VD, Kirillov AA, Belotsky KM. Dynamics and Merger Rate of Primordial Black Holes in a Cluster. Universe. 2022; 8(1):41. https://doi.org/10.3390/universe8010041

Chicago/Turabian Style

Stasenko, Viktor D., Alexander A. Kirillov, and Konstantin M. Belotsky. 2022. "Dynamics and Merger Rate of Primordial Black Holes in a Cluster" Universe 8, no. 1: 41. https://doi.org/10.3390/universe8010041

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