Conservation of nonlinear curvature perturbations on super-Hubble scales

Details Conservation of nonlinear curvature perturbations on super-Hubble scales Conservation of nonlinear curvature perturbations on super-Hubble scales

2005-09-27

arxiv.org/abs/astro-ph/0509793v1

AIP Conf.Proc.805:94-98,2006

Astronomy and Astrophysics

Astrophysics

5 pages, 2 figures, to appear in the proceedings of PASCOS05, ed. by Kiwoon Choi, Jihn E. Kim and Dongchul Son, pub. by AIP

Scientific paper

10.1063/1.2149682

We consider general, non-linear curvature perturbations on scales greater than the Hubble horizon scale by invoking an expansion in spatial gradients, the so-called gradient expansion. After reviewing the basic properties of the gradient expansion, we derive the conservation law for non-linear curvature perturbations for an isentropic fluid. We also define the gauge-invariant curvature perturbation under a finite shift of time-slicing, and derive the non-linear genralization of the $\delta N$ formalism. The results obtained are straight-forward generalisations of those already proven in linear perturbation theory, and the equations are simple, resembling closely the first-order equations.

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