Scale Invariance via a Phase of Slow Expansion

Details Scale Invariance via a Phase of Slow Expansion Scale Invariance via a Phase of Slow Expansion

2011-04-21

arxiv.org/abs/1104.4347v1

Phys.Rev.D84:023508,2011

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, 5 figures

Scientific paper

10.1103/PhysRevD.84.023508

We consider a cosmological scenario in which a scale-invariant spectrum of curvature perturbations is generated by a rapidly-evolving equation of state on a slowly expanding background. This scenario generalizes the "adiabatic ekpyrotic" mechanism proposed recently in arXiv:0910.2230. Whereas the original proposal assumed a slowly contracting background, the present work shows that the mechanism works equally well on an expanding background. This greatly expands the realm of broader cosmological scenarios in which this mechanism can be embedded. We present a phase space analysis and show that both the expanding and contracting versions of the scenario are dynamical attractors, with the expanding branch having a broader basin of attraction. In both cases, a finite range of scale invariant modes can be generated within the regime of validity of perturbation theory.

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