Consistency relations between the source terms in the second-order Einstein equations for cosmological perturbations
General Relativity and Quantum Cosmology
2009-01-27 v1 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In addition to the second-order Einstein equations on four-dimensional homogeneous isotropic background universe filled with the single perfect fluid, we also derived the second-order perturbations of the continuity equation and the Euler equation for a perfect fluid in gauge-invariant manner without ignoring any mode of perturbations. The consistency of all equations of the second-order Einstein equation and the equations of motion for matter fields is confirmed. Due to this consistency check, we may say that the set of all equations of the second-order are self-consistent and they are correct in this sense.
Keywords
Cite
@article{arxiv.0901.3638,
title = {Consistency relations between the source terms in the second-order Einstein equations for cosmological perturbations},
author = {Kouji Nakamura},
journal= {arXiv preprint arXiv:0901.3638},
year = {2009}
}
Comments
4 pages, no figure, Prepared for the proceedings of the international conference JGRG18 (2008), Hiroshima, Japan