Gradient expansion approach to nonlinear superhorizon perturbations II -- a single scalar field --

Details Gradient expansion approach to nonlinear superhorizon perturbations II -- a single scalar field -- Gradient expansion approach to nonlinear superhorizon perturbations II -- a single scalar field --

2007-06-05

arxiv.org/abs/0706.0678v2

Prog.Theor.Phys.118:455-473,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, no figures, typos corrected

Scientific paper

10.1143/PTP.118.455

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 $O(\epsilon^2)$, where $\epsilon$ is the expansion parameter associated with a spatial derivative, which includes both the scalar and tensor modes. In particular, the $O(\epsilon^2)$ correction terms to the nonlinear curvature perturbation, which become important in models with a non-slowroll stage during inflation, are explicitly obtained.

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