Coarse-graining of inhomogeneous dust flow in General Relativity via isometric embeddings
General Relativity and Quantum Cosmology
2015-05-14 v1
Abstract
We present a new approach to coarse-graining of variables describing dust flow in GR. It is based on assigning quasi-local shear, twist and expansion to 2-dimensional surfaces with the help of isometric embeddings into the 3-dimensional Euclidean space and deriving the time evolution equations for them. In contrast to the popular Buchert's scheme it allows to coarse-grain tensorial quantities in a coordinate-independent way. The framework can be used to estimate backreaction in inhomogeneous cosmological models.
Keywords
Cite
@article{arxiv.1001.2031,
title = {Coarse-graining of inhomogeneous dust flow in General Relativity via isometric embeddings},
author = {Mikolaj Korzynski},
journal= {arXiv preprint arXiv:1001.2031},
year = {2015}
}
Comments
Submitted to the Proceedings of the Invisible Universe Conference Paris 2009