On the Newtonian Limit of the Weyl Tensor
General Relativity and Quantum Cosmology
2009-08-23 v1 Cosmology and Nongalactic Astrophysics
Abstract
In this note we wish to complement some recent work in the cosmological literature concerning the Weyl conformal curvature tensor and its parts. In particular, we shall give a clear-cut definition of the Newtonian limits of electric and magnetic parts of the Weyl tensor. We also discuss that only a subset of the relativistic equations is needed to obtain a closed system of equations in the Newtonian limit.
Cite
@article{arxiv.0907.2645,
title = {On the Newtonian Limit of the Weyl Tensor},
author = {Juergen Ehlers and Thomas Buchert},
journal= {arXiv preprint arXiv:0907.2645},
year = {2009}
}
Comments
6 pages. Dedicated to the memory of Juergen Ehlers. To appear in the upcoming Special Issue of "General Relativity and Gravitation"