Inclusion of the first-order vector- and tensor-modes in the second-order gauge-invariant cosmological perturbation theory

Details Inclusion of the first-order vector- and tensor-modes in the second-order gauge-invariant cosmological perturbation theory Inclusion of the first-order vector- and tensor-modes in the second-order gauge-invariant cosmological perturbation theory

2009-01-23

arxiv.org/abs/0901.3635v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 gapges, no figure, Prepared for the proceedings of the international conference JGRG17 (2007) Nagoya, Japan

Scientific paper

Gauge-invariant treatments of the second-order cosmological perturbation in a four dimensional homogeneous isotropic universe are formulated without any gauge fixing. We have derived the Einstein equations in the case of the single perfect fluid without ignoring any modes. These equations imply that any types of mode-coupling arise due to the second-order effects of the Einstein equations.

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