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arxiv: 1201.3163 · v2 · pith:2WXOZ6C6new · submitted 2012-01-16 · 🌌 astro-ph.CO · gr-qc· hep-ph· hep-th

Fully non-linear equivalence of delta N and covariant formalisms

classification 🌌 astro-ph.CO gr-qchep-phhep-th
keywords curvaturecovariantfullynon-lineardeltaequivalenceformalismformalisms
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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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