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Main Authors: Machado, Idaiane L., da Silva, Dêivid R., Pinto-Neto, Nelson
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2506.06901
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author Machado, Idaiane L.
da Silva, Dêivid R.
Pinto-Neto, Nelson
author_facet Machado, Idaiane L.
da Silva, Dêivid R.
Pinto-Neto, Nelson
contents We calculate the power spectrum of cosmological perturbations originated from quantum vacuum fluctuations in bouncing scenarios proposed in Ref.~\cite{chamseddine2014cosmology} in the framework of mimetic cosmology. We show that all physically relevant models produce scale invariant spectral indices, and amplitudes compatible with observations provided that the bounce occurs at length scales $t_0$ inside the physically reasonable interval $10^5 l_p < t_0 < 10^9 l_p$. We also show that by slightly modifying the scalar field potential proposed in Ref.~\cite{chamseddine2014cosmology}, we can also obtain the observed red-tilted spectral index, with the same amplitude constraints. Hence, mimetic cosmology provides reasonable bouncing cosmological models without the need of any background quantum effect.
format Preprint
id arxiv_https___arxiv_org_abs_2506_06901
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum cosmological perturbations in bouncing models with mimetic dark matter
Machado, Idaiane L.
da Silva, Dêivid R.
Pinto-Neto, Nelson
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
83F05 (Primary), 83C55, 35Q75 (Secondary)
We calculate the power spectrum of cosmological perturbations originated from quantum vacuum fluctuations in bouncing scenarios proposed in Ref.~\cite{chamseddine2014cosmology} in the framework of mimetic cosmology. We show that all physically relevant models produce scale invariant spectral indices, and amplitudes compatible with observations provided that the bounce occurs at length scales $t_0$ inside the physically reasonable interval $10^5 l_p < t_0 < 10^9 l_p$. We also show that by slightly modifying the scalar field potential proposed in Ref.~\cite{chamseddine2014cosmology}, we can also obtain the observed red-tilted spectral index, with the same amplitude constraints. Hence, mimetic cosmology provides reasonable bouncing cosmological models without the need of any background quantum effect.
title Quantum cosmological perturbations in bouncing models with mimetic dark matter
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
83F05 (Primary), 83C55, 35Q75 (Secondary)
url https://arxiv.org/abs/2506.06901