Second Order Gauge-Invariant Perturbations during Inflation

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dc.creatorFinelli, F.
dc.creatorMarozzi, G.
dc.creatorVacca, G. P.
dc.creatorVenturi, G.
dc.date2006-04-19
dc.date2006-10-31
dc.date.accessioned2026-07-07T11:43:03Z
dc.date.available2026-07-07T11:43:03Z
dc.descriptionThe evolution of gauge invariant second-order scalar perturbations in a general single field inflationary scenario are presented. Different second order gauge invariant expressions for the curvature are considered. We evaluate perturbatively one of these second order curvature fluctuations and a second order gauge invariant scalar field fluctuation during the slow-roll stage of a massive chaotic inflationary scenario, taking into account the deviation from a pure de Sitter evolution and considering only the contribution of super-Hubble perturbations in mode-mode coupling. The spectra resulting from their contribution to the second order quantum correlation function are nearly scale-invariant, with additional logarithmic corrections to the first order spectrum. For all scales of interest the amplitude of these spectra depend on the total number of e-folds. We find, on comparing first and second order perturbation results, an upper limit to the total number of e-folds beyond which the two orders are comparable.
dc.description17 pages, 6 figures. Final version to appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/gr-qc/0604081
dc.identifierhttp://arxiv.org/abs/gr-qc/0604081
dc.identifierPhys.Rev.D74:083522,2006
dc.identifierdoi:10.1103/PhysRevD.74.083522
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201099
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleSecond Order Gauge-Invariant Perturbations during Inflation
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