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Gradient Expansion Approach to Nonlinear Superhorizon Perturbations. II: -- A Single Scalar Field --

2007/06/14 by Y. Tanaka, Yoshiharu Tanaka, M. Sasaki +1 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #astro-ph #gr-qc #hep-th

paper · pdf · doi:10.1143/ptp.118.455

published as Prog.Theor.Phys.118:455-473,2007 · 13 pages, no figures, typos corrected

arxiv created 2007/06/14 · openalex publication_date 2007/09/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/31

Abstract

We formulate nonlinear perturbations of a scalar field dominated universe on super-horizon scales. We consider the case of a single scalar field. We employ the gradient expansion approach. We adopt the uniform Hubble slicing and derive the general solution valid to O(∈2), where ∈ is the expansion parameter associated with a spatial derivative, which includes both the scalar and tensor modes. In particular, the O(∈2) correction terms to the nonlinear curvature perturbation, which are important in models with a non-slowroll stage during inflation, are explicitly obtained.

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