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Fully nonlinear equivalence of δN and covariant formalisms

Teruaki Suyama1, Yuki Watanabe2, and Masahide Yamaguchi3

  • 1Research Center for the Early Universe (RESCEU), Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan
  • 2Arnold Sommerfeld Center for Theoretical Physics, Ludwig Maximilian University of Munich, Theresienstrasse 37, 80333 Munich, Germany
  • 3Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan

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Phys. Rev. D 85, 083504 – Published 3 April, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.083504

Abstract

We explicitly show the fully nonlinear equivalence of the δN 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 nonlinear evolution of the curvature covector and that of the curvature perturbation for multiple interacting fluids.

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Phys. Rev. D 85, 083504– Published 3 April, 2012
  • Received 29 January 2012

© 2012 American Physical Society

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