Averaging in cosmological models using scalars
Abstract
The averaging problem in cosmology is of considerable importance for the correct interpretation of cosmological data. A rigorous mathematical definition of averaging in a cosmological model is necessary. In general, a spacetime is completely characterized by its scalar curvature invariants, and this suggests a particular spacetime averaging scheme based entirely on scalars. We clearly identify the problems of averaging in a cosmological model. We then present a precise definition of a cosmological model, and based upon this definition, we propose an averaging scheme in terms of scalar curvature invariants. This scheme is illustrated in a simple static spherically symmetric perfect fluid cosmological spacetime, where the averaging scales are clearly identified.
Cite
@article{arxiv.0908.4281,
title = {Averaging in cosmological models using scalars},
author = {A. A. Coley},
journal= {arXiv preprint arXiv:0908.4281},
year = {2010}
}
Comments
33 pages