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

2009/01/23 by Kouji Nakamura, Nakamura, Kouji
Mathematics · Physics and Astronomy · #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #astro-ph.CO #gr-qc #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.0901.3635

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

arxiv created 2009/01/23 · arxiv updated 2009/12/01

Abstract

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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