2011/10/31 by Ghazal Geshnizjani, William H. Kinney, William H Kinney +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Contraction (grammar) #Cosmological perturbation theory #Cosmology #Cosmology and Gravitation Theories #Curvature #Galaxies: Formation, Evolution, Phenomena #Horizon #Inflation (cosmology) #Perturbation (astronomy) #Scalar (mathematics) #Scalar field #astro-ph.CO #gr-qc
paper · pdf · doi:10.1088/1475-7516/2012/02/015
36 pages, LaTeX (v2: references added, version submitted to JCAP)
arxiv created 2011/11/08 · openalex publication_date 2012/02/14 · arxiv updated 2015/05/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 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.