Gradient expansion approach to nonlinear superhorizon perturbations II -- a single scalar field --
General Relativity and Quantum Cosmology
2008-11-26 v2 Astrophysics
High Energy Physics - Theory
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 take the gradient expansion approach. We adopt the uniform Hubble slicing and derive the general solution valid to , where is the expansion parameter associated with a spatial derivative, which includes both the scalar and tensor modes. In particular, the correction terms to the nonlinear curvature perturbation, which become important in models with a non-slowroll stage during inflation, are explicitly obtained.
Keywords
Cite
@article{arxiv.0706.0678,
title = {Gradient expansion approach to nonlinear superhorizon perturbations II -- a single scalar field --},
author = {Yoshiharu Tanaka and Misao Sasaki},
journal= {arXiv preprint arXiv:0706.0678},
year = {2008}
}
Comments
13 pages, no figures, typos corrected