Abstract
The main aim of this paper is to constrain the proportion of primordial black holes (PBHs) in dark matter. First, we discussed the formation condition of the PBH binaries, and second, we calculated the merger rate density, [Formula: see text], of charged PBH binaries. According to the origin of angular momentum of PBH binaries and the mechanism of losing energy and angular momentum, we discussed four different kinds of PBH binaries coalescence. We calculated the merger rate densities of them with a constant charge-to-mass ratio. By Bayesian data analysis and comparing the theoretical detection rate with observational data, we found that even if all gravitational wave events originated from the coalescence of PBH binary, the proportion of PBH in dark matter is only [Formula: see text] in mass range [Formula: see text], namely PBHs constitute a tiny fraction of dark matter.
Published Version
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