Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 9, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1475-7516/2019/09/073
Keywords
cosmological perturbation theory; inflation; primordial black holes
Funding
- ICCUB (Unidad de Excelencia Maria de Maeztu) [MDM-20140369]
- Universidad de Cantabria postdoctoral program
- Spanish research project (AEI/FEDER, EU) [ESP2017-83921-C21-R]
- Spanish Ministry MINECO grant [FPA2015-64041-C2-1P]
- Basque Government [IT-979-16]
- [FPA2016-76005-C2-2-P]
- [AGAUR2014-SGR-1474]
- [AGAUR2017-SGR-754]
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In the context of transient constant-roll inflation near a local maximum, we derive the non-perturbative field redefinition that relates a Gaussian random field with the true non-Gaussian curvature perturbation. Our analysis shows the emergence of a new critical amplitude zeta(*), corresponding to perturbations that prevent the inflaton from overshooting the local maximum, thus becoming trapped in the false minimum of the potential. For potentials with a mild curvature at the local maximum (and thus small non-Gaussianity), we recover the known perturbative field redefinition. We apply these results to the formation of primordial black holes, and discuss the cases for which zeta(*) is smaller or of the same order than the critical value for collapse of spherically symmetric overdensities. In the latter case, we present a simple potential for which the power spectrum needs an amplitude 10 times smaller that in the Gaussian case for producing a sizeable amount of primordial black holes.
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