A non inflationary model with scale invariant cosmological perturbations

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dc.creatorPeter, Patrick
dc.creatorPinho, E. J. C.
dc.creatorPinto-Neto, Nelson
dc.date2006-10-18
dc.date.accessioned2026-07-07T10:26:07Z
dc.date.available2026-07-07T10:26:07Z
dc.descriptionWe show that a contracting universe which bounces due to quantum cosmological effects and connects to the hot big-bang expansion phase, can produce an almost scale invariant spectrum of perturbations provided the perturbations are produced during an almost matter dominated era in the contraction phase. This is achieved using Bohmian solutions of the canonical Wheeler-de Witt equation, thus treating both the background and the perturbations in a fully quantum manner. We find a very slightly blue spectrum ($n_{_\mathrm{S}}-1>0$). Taking into account the spectral index constraint as well as the CMB normalization measure yields an equation of state that should be less than $ω\lesssim 8\times 10^{-4}$, implying $n_{_\mathrm{S}}-1 \sim \mathcal{O}(10^{-4})$, and that the characteristic size of the Universe at the bounce is $L_0 \sim 10^3 \ell_\mathrm{Planck}$, a region where one expects that the Wheeler-DeWitt equation should be valid without being spoiled by string or loop quantum gravity effects.
dc.description9 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0610205
dc.identifierhttp://arxiv.org/abs/hep-th/0610205
dc.identifierPhys.Rev.D75:023516,2007
dc.identifierdoi:10.1103/PhysRevD.75.023516
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176769
dc.subjectHigh Energy Physics - Theory
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Phenomenology
dc.titleA non inflationary model with scale invariant cosmological perturbations
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