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Physical Review D

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Formation of primordial black holes from non-Gaussian perturbations produced in a waterfall transition

Edgar Bugaev^* and Peter Klimai^†

Institute for Nuclear Research, Russian Academy of Sciences, 60th October Anniversary Prospect 7a, 117312 Moscow, Russia

^*bugaev@pcbai10.inr.ruhep.ru
^†pklimai@gmail.com

Phys. Rev. D 85, 103504 – Published 7 May, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.103504

Abstract

We consider the process of primordial black hole (PBH) formation originated from primordial curvature perturbations produced during waterfall transition (with tachyonic instability), at the end of hybrid inflation. It is known that in such inflation models, rather large values of curvature perturbation amplitudes can be reached, which can potentially cause a significant PBH production in the early Universe. The probability distributions of density perturbation amplitudes in this case can be strongly non-Gaussian, which requires a special treatment. We calculated PBH abundances and PBH mass spectra for the model and analyzed their dependence on model parameters. We obtained the constraints on the parameters of the inflationary potential, using the available limits on $β_{PBH}$ .

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