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Non-linear metric perturbations and production of primordial black holes

P. Ivanov
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Abstract

We consider the simple inflationary model with peculiarity in the form of "plateau" in the inflaton potential. We use the formalism of coarse-grained field to describe the production of metric perturbations $h$ of an arbitrary amplitude and obtain non-Gaussian probability function for such metric perturbations. We associate the spatial regions having large perturbations $h\sim 1$ with the regions going to primordial black holes after inflation. We show that in our model the non-linear effects can lead to overproduction of the primordial black holes.

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P. Ivanov. 1997-08-25. Non-linear metric perturbations and production of primordial black holes. https://doi.org/10.1103/physrevd.57.7145

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