Non-linear metric perturbations and production of primordial black holes

Details Non-linear metric perturbations and production of primordial black holes Non-linear metric perturbations and production of primordial black holes

1997-08-25

arxiv.org/abs/astro-ph/9708224v1

Phys.Rev. D57 (1998) 7145-7154

Astronomy and Astrophysics

Astrophysics

13 pages, 2 Postscript figures, submitted to Phys. Rev. D

Scientific paper

10.1103/PhysRevD.57.7145

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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