Fully non-linear equivalence of delta N and covariant formalisms

Details Fully non-linear equivalence of delta N and covariant formalisms Fully non-linear equivalence of delta N and covariant formalisms

2012-01-16

arxiv.org/abs/1201.3163v2

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

11 pages, minor changes, version accepted by PRD

Scientific paper

We explicitly show the fully non-linear equivalence of the $\delta$N and the covariant formalisms for the superhorizon curvature perturbations, which enables us to safely evaluate the non-Gaussian quantities of the curvature perturbation in either formalism. We also discuss isocurvature perturbations in the covariant formalism and clarify the relation between the fully non-linear evolution of the curvature covector and that of the curvature perturbation for multiple interacting fluids.

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