Consistency of Equations for the Single Scalar Field Case in Second-order Gauge-invariant Cosmological Perturbation Theory

Details Consistency of Equations for the Single Scalar Field Case in Second-order Gauge-invariant Cosmological Perturbation Theory Consistency of Equations for the Single Scalar Field Case in Second-order Gauge-invariant Cosmological Perturbation Theory

2010-01-25

arxiv.org/abs/1001.4338v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, no figure, prepared as a proceedings for The Nineteenth Workshop on General Relativity and Gravitation in Japan (JGRG

Scientific paper

We derived the second-order perturbations of the Einstein equations and the Klein-Gordon equation for a generic situation in terms of gauge-invariant variables. The consistency of all the equations is confirmed. This confirmation implies that all the derived equations of the second order are self-consistent and these equations are correct in this sense. We also discuss the physical implication of these equations.

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