On the initial regime of pre-big bang cosmology
M. Gasperini

TL;DR
This paper explores how a pre-big bang cosmological phase with growing string coupling can produce the right spectrum of curvature perturbations, consistent with an initial string-vacuum state, without being limited by backreaction effects.
Contribution
It demonstrates that a viable, slightly red spectrum of scalar perturbations can originate from an asymptotic, perturbative pre-big bang regime compatible with initial string-vacuum conditions.
Findings
A perturbative pre-big bang phase can produce the observed curvature perturbation spectrum.
The initial string-vacuum state supports an extended pre-big bang phase without backreaction limitations.
The model aligns with the Asymptotic Past Triviality hypothesis.
Abstract
The production of a background of super-horizon curvature perturbations with the appropriate (red) spectrum needed to trigger the cosmic anisotropies observed on large scales is associated, in the context of pre-big bang inflation, with a phase of growing string coupling. The extension towards the past of such a phase is not limited in time by the dynamical backreaction of the quantum perturbations of the cosmological geometry and of its sources. A viable, slightly red spectrum of scalar perturbations can thus be the output of an asymptotic, perturbative regime which is well compatible with an initial string-vacuum state satisfying the postulate of "Asymptotic Past Triviality".
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