Université de GenèveDépartement de Physique ThéoriqueCAP Genève

Horizon-preserving dualities and perturbations in non-canonical scalar field cosmologies

20. October 2011
Cite as: 
G. Geshnizjani, W. H. Kinney, A. Moradinezhad Dizgah, JCAP 1202 (2012) 015
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We generalize the cosmological duality between inflation and cyclic contraction under the interchange a↔H to the case of non-canonical scalar field theories with varying speed of sound. The single duality in the canonical case generalizes to a family of three dualities constructed to leave the cosmological acoustic horizon invariant. We find three classes of models: (I) DBI inflation, (II) the non-canonical generalization of cyclic contraction, and (III) a new cosmological solution with rapidly decreasing speed of sound and relatively slowly growing scale factor, which we dub {\it stalled} cosmology. We construct dual analogs to the inflationary slow roll approximation, and solve for the curvature perturbation in all three cases. Both cyclic contraction and stalled cosmology predict a strongly blue spectrum for the curvature perturbations inconsistent with observations.


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