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On the Generation of a Scale-Invariant Spectrum of Adiabatic Fluctuations in Cosmological Models with a Contracting Phase

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arxiv hep-th/0112249 v2 pith:P67OIHAW submitted 2001-12-28 hep-th astro-phgr-qchep-ph

Fabio Finelli , Robert Brandenberger This is my paper · ORCID
classification hep-thastro-phgr-qchep-ph
keywords fluctuationsbackgroundcontractingspectrumadiabaticcosmologyekpyroticphase
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In Pre-Big-Bang and in Ekpyrotic Cosmology, perturbations on cosmological scales today are generated from quantum vacuum fluctuations during a phase when the Universe is contracting (viewed in the Einstein frame). The backgrounds studied to date do not yield a scale invariant spectrum of adiabatic fluctuations. Here, we present a new contracting background model (neither of Pre-Big-Bang nor of the Ekpyrotic form) involving a single scalar field coupled to gravity in which a scale-invariant spectrum of curvature fluctuations and gravitational waves results. The equation of state of this scalar field corresponds to cold matter. We demonstrate that if this contracting phase can be matched via a nonsingular bounce to an expanding Friedmann cosmology, the scale-invariance of the curvature fluctuations is maintained. We also find new background solutions for Pre-Big-Bang and for Ekpyrotic cosmology, which involve two scalar fields with exponential potentials with background values which are evolving in time. We comment on the difficulty of obtaining a scale-invariant spectrum of adiabatic fluctuations with background solutions which have been studied in the past.

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Cited by 5 Pith papers

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  5. Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution

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