Superpotential method and the amplification of inflationary perturbations

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Hauptverfasser: Kamenshchik, Alexander Y., Pozdeeva, Ekaterina O., Tribolet, Augustin, Tronconi, Alessandro, Venturi, Giovanni, Vernov, Sergey Yu.
Format: Preprint
Veröffentlicht: 2024
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author Kamenshchik, Alexander Y.
Pozdeeva, Ekaterina O.
Tribolet, Augustin
Tronconi, Alessandro
Venturi, Giovanni
Vernov, Sergey Yu.
author_facet Kamenshchik, Alexander Y.
Pozdeeva, Ekaterina O.
Tribolet, Augustin
Tronconi, Alessandro
Venturi, Giovanni
Vernov, Sergey Yu.
contents The superpotential method is a reconstruction technique which has proven useful to build exact cosmological solutions. We here employ the superpotential method in order to reconstruct the features necessary for the inflaton potential to drive inflation and lead to the amplification of the curvature perturbations. Such an amplification, at wavelengths shorter than those observed in the cosmic microwave background, is necessary in order to have a significant formation of primordial black holes after inflation ends. The technique is applied to the cases of a minimally coupled inflaton, to the nonminimal coupling case and to $f(R)$ theories of gravity. For such theories, a model dependent analysis of the features leading to the scalar spectrum enhancement is also presented.
format Preprint
id arxiv_https___arxiv_org_abs_2406_19762
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Superpotential method and the amplification of inflationary perturbations
Kamenshchik, Alexander Y.
Pozdeeva, Ekaterina O.
Tribolet, Augustin
Tronconi, Alessandro
Venturi, Giovanni
Vernov, Sergey Yu.
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
The superpotential method is a reconstruction technique which has proven useful to build exact cosmological solutions. We here employ the superpotential method in order to reconstruct the features necessary for the inflaton potential to drive inflation and lead to the amplification of the curvature perturbations. Such an amplification, at wavelengths shorter than those observed in the cosmic microwave background, is necessary in order to have a significant formation of primordial black holes after inflation ends. The technique is applied to the cases of a minimally coupled inflaton, to the nonminimal coupling case and to $f(R)$ theories of gravity. For such theories, a model dependent analysis of the features leading to the scalar spectrum enhancement is also presented.
title Superpotential method and the amplification of inflationary perturbations
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
url https://arxiv.org/abs/2406.19762