Spatially averaged cosmology in an arbitrary coordinate system
General Relativity and Quantum Cosmology
2009-04-22 v2 Cosmology and Nongalactic Astrophysics
Abstract
This paper presents a general averaging procedure for a set of observers which are tilted with respect to the cosmological matter fluid. After giving the full set of equations describing the local dynamics, we define the averaging procedure and apply it to the scalar parts of Einstein's field equations. In addition to the standard backreaction, new terms appear that account for the effect of the peculiar velocity of the matter fluid as well as the possible effect of a shift in the coordinate system.
Cite
@article{arxiv.0902.3159,
title = {Spatially averaged cosmology in an arbitrary coordinate system},
author = {J. Larena},
journal= {arXiv preprint arXiv:0902.3159},
year = {2009}
}
Comments
8 pages, no figure. Replaced to match the version published in Phys. Rev. D