Conformal invariance of curvature perturbation

Abstract

We show that in the single component situation all perturbation variables in the comoving gauge are conformally invariant to all perturbation orders. Generally we identify a special time slicing, the uniform-conformal transformation slicing, where all perturbations are again conformally invariant to all perturbation orders. We apply this result to the delta N formalism, and show its conformal invariance.

15 pages, 1 figure

References in corpus (4)

• The Standard Model Higgs boson as the inflaton
• Consistency test of general relativity from large scale structure of the Universe
• Conservation of the nonlinear curvature perturbation in generic single-field inflation
• Large non-Gaussianity in non-minimal inflation

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