English

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 O(ϵ2)O(\epsilon^2), where ϵ\epsilon is the expansion parameter associated with a spatial derivative, which includes both the scalar and tensor modes. In particular, the O(ϵ2)O(\epsilon^2) 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