Generation of a scale-invariant spectrum of adiabatic fluctuations in cosmological models with a contracting phase
Generation of a scale-invariant spectrum of adiabatic fluctuations in cosmological models with a contracting phase
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DOI：
10.1103/physrevd.65.103522
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发表时间：
2001-12
影响因子：
5
通讯作者：
F. Finelli;R. Brandenberger
中科院分区：
文献类型：
--
作者：
F. Finelli;R. Brandenberger
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.
