A rigorous formulation of the cosmological Newtonian limit without averaging
General Relativity and Quantum Cosmology
2010-11-05 v2
Abstract
We prove the existence of a large class of one-parameter families of cosmological solutions to the Einstein-Euler equations that have a Newtonian limit. This class includes solutions that represent a finite, but otherwise arbitrary, number of compact fluid bodies. These solutions provide exact cosmological models that admit Newtonian limits but, are not, either implicitly or explicitly, averaged.
Keywords
Cite
@article{arxiv.0908.4454,
title = {A rigorous formulation of the cosmological Newtonian limit without averaging},
author = {Todd A. Oliynyk},
journal= {arXiv preprint arXiv:0908.4454},
year = {2010}
}