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Manifestly Gauge Invariant Theory of the Nonlinear Cosmological Perturbations in the Leading Order of the Gradient Expansion by Hamazaki, Takashi is a scholarly article available to read on EtoBox.

What is Manifestly Gauge Invariant Theory of the Nonlinear Cosmological Perturbations in the Leading Order of the Gradient Expansion about?

In the full nonlinear cosmological perturbation theory in the leading order of the gradient expansion, all the types of the gauge invariant perturbation variables are defined. The metric junction conditions across the spacelike transition hypersurface are formulated in a manifestly gauge invariant manner. It is manifestly shown that all the physical laws such as the evolution equations, the constraint equations, and the junction conditions can be written using the gauge invariant variables which we defined only. Based on the existence of the universal adiabatic growing mode in the nonlinear perturbation theory and the $\rho$ philosophy where the physical evolution are described using the energy density $\rho$ as the evolution parameter, we give the definitions of the adiabatic perturbation variable and the entropic perturbation variables in the full nonlinear perturbation theory. In order to give the analytic order estimate of the nonlinear parameter $f_{NL}$, we present the exponent evaluation method. As the models where $f_{NL}$ changes continuously and becomes large, using the $\rho$ philosophy, we investigate the non-Gaussianity induced by the entropic perturbation of the compo

Author

Hamazaki, Takashi

Published

2011

Language

EN