Non-linear inflationary perturbations

Details Non-linear inflationary perturbations Non-linear inflationary perturbations

2004-05-10

arxiv.org/abs/astro-ph/0405185v3

JCAP 0510 (2005) 006

Astronomy and Astrophysics

Astrophysics

10 pages, replaced to match JCAP version

Scientific paper

10.1088/1475-7516/2005/10/006

We present a method by which cosmological perturbations can be quantitatively studied in single and multi-field inflationary models beyond linear perturbation theory. A non-linear generalization of the gauge-invariant Sasaki-Mukhanov variables is used in a long-wavelength approximation. These generalized variables remain invariant under time slicing changes on long wavelengths. The equations they obey are relatively simple and can be formulated for a number of time slicing choices. Initial conditions are set after horizon crossing and the subsequent evolution is fully non-linear. We briefly discuss how these methods can be implemented numerically in the study of non-Gaussian signatures from specific inflationary models.

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