2005/08/31 by Kari Enqvist, Sami Nurmi · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmic microwave background #Cosmological perturbation theory #Cosmology and Gravitation Theories #Curvature #Gaussian #Geometric Analysis and Curvature Flows #Inflation (cosmology) #Limit (mathematics) #Mathematical analysis #Mathematics #Non-Gaussianity #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Quadratic equation #Quantum mechanics #Statistical physics #Theoretical physics #astro-ph
paper · pdf · doi:10.1088/1475-7516/2005/10/013
published as JCAP0510:013,2005 · 11 pages, 3 figures. Minor changes. Typos corrected and a reference added
arxiv created 2005/09/06 · openalex publication_date 2005/10/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We consider curvaton models with potentials that depart slightly from the quadratic form. We show that although such a small departure does not significantly modify the Gaussian part of the curvature perturbation, it can have a pronounced effect on the level of non-Gaussianity. We find that unlike in the quadratic case, the limit of small non-Gaussianity, , is quite possible even with small curvaton energy density . Furthermore, non-Gaussianity does not imply any strict bounds on r , but the bounds depend on the assumptions about the higher order terms in the curvaton potential.