The clustering evolution of primordial black holes
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Abstract
Primordial black holes might comprise a significant fraction of the dark\nmatter in the Universe and be responsible for the gravitational wave signals\nfrom black hole mergers observed by the LIGO/Virgo collaboration. The spatial\nclustering of primordial black holes might affect their merger rates and have a\nsignificant impact on the constraints on their masses and abundances. We\nprovide some analytical treatment of the primordial black hole spatial\nclustering evolution, compare our results with some of the existing N-body\nnumerical simulations and discuss the implications for the black hole merger\nrates. If primordial black holes contribute to a small fraction of the dark\nmatter, primordial black hole clustering is not relevant. On the other hand,\nfor a large contribution to the dark matter, we argue that the clustering may\nincrease the late time Universe merger rate to a level compatible with the\nLIGO/Virgo detection rate. As for the early Universe merger rate of black hole\nbinaries formed at primordial epochs, clustering alleviates the LIGO/Virgo\nconstraints, but does not evade them.\n