Resonant amplification of curvature perturbations in inflation model with periodical derivative coupling

Fuente: arXiv
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Autores principales: Chen, Li-Yang, Yu, Hongwei, Wu, Puxun
Formato: Preprint
Publicado: 2024
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author Chen, Li-Yang
Yu, Hongwei
Wu, Puxun
author_facet Chen, Li-Yang
Yu, Hongwei
Wu, Puxun
contents In this paper, we introduce a weak, transient and periodical derivative coupling between the inflaton field and gravity, and find that the square of the sound speed of the curvature perturbations becomes a periodic function, which results in that the equation of the curvature perturbations can be transformed into the form of the Mathieu equation in the sub-horizon limit. Thus, the parametric resonance will amplify the curvature perturbations so as to generate a formation of abundant primordial black holes (PBHs). We show that the generated PBHs can make up most of dark matter. Associated with the generation of PBHs, the large scalar perturbations will give rise to the scalar induced gravitational waves which may be detected by future gravitational wave projects.
format Preprint
id arxiv_https___arxiv_org_abs_2401_07523
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Resonant amplification of curvature perturbations in inflation model with periodical derivative coupling
Chen, Li-Yang
Yu, Hongwei
Wu, Puxun
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
In this paper, we introduce a weak, transient and periodical derivative coupling between the inflaton field and gravity, and find that the square of the sound speed of the curvature perturbations becomes a periodic function, which results in that the equation of the curvature perturbations can be transformed into the form of the Mathieu equation in the sub-horizon limit. Thus, the parametric resonance will amplify the curvature perturbations so as to generate a formation of abundant primordial black holes (PBHs). We show that the generated PBHs can make up most of dark matter. Associated with the generation of PBHs, the large scalar perturbations will give rise to the scalar induced gravitational waves which may be detected by future gravitational wave projects.
title Resonant amplification of curvature perturbations in inflation model with periodical derivative coupling
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2401.07523