New Estimates of the Merger Rate of Primordial Black Holes with Allowance for Clustering Dark Matter
Tóm tắt
The merger rate of primordial black holes (PBHs) is numerically estimated by taking into account the gravitational interaction of PBHs with clustering cold dark matter (DM). The mass and initial separation have values appropriate for the explanation of LIGO/Virgo events by the merging of binary PBHs. We refine the criterion for the merging of a pair of black holes, provided that a DM halo is formed around each of them, and apply this criterion to a series of numerical simulations of the evolution of the Universe filled with both PBHs and DM. As a result, we show that taking the DM clustering into account increases the merger rate approximately by a factor of 10 compared to the standard estimate for a small fraction of PBHs in DM. This, in turn, implies that the PBH mass fraction
$$f_{\textrm{PBH}}$$
may be smaller than assumed previously and may account for no more than
$$10^{-4}$$
of the total DM mass.
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