Quantum cosmological perturbations in bouncing models with mimetic dark matter

2025/06/07 by Machado, Idaiane L., Dêivid R. da Silva, da Silva, Dêivid R. +2
Physics and Astronomy · #35Q75 (Secondary) #83C55 #83F05 (Primary) #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Quantum Electrodynamics and Casimir Effect

paper · pdf · doi:10.48550/arxiv.2506.06901

openalex publication_date 2025/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We calculate the power spectrum of cosmological perturbations originated from quantum vacuum fluctuations in bouncing scenarios proposed in Ref.~\citechamseddine2014cosmology 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 t₀ inside the physically reasonable interval 10⁵ l_p < t₀ < 10⁹ l_p. We also show that by slightly modifying the scalar field potential proposed in Ref.~\citechamseddine2014cosmology, 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.

Citations

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