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

2010/01/25 by K. Nakamura, Kouji Nakamura, Nakamura, Kouji
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Relativity and Gravitational Theory #astro-ph.CO #gr-qc #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1001.4338

4 pages, no figure, prepared as a proceedings for The Nineteenth Workshop on General Relativity and Gravitation in Japan (JGRG19)

arxiv created 2010/01/25 · arxiv updated 2010/02/26

Abstract

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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