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Title:
On the Newtonian limit of the Weyl tensor
Authors:
Ehlers, Jürgen; Buchert, Thomas
Affiliation:
AA(Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut), AB(Theoretische Physik, Ludwigs-Maximilians-Universität; Centre de Recherche Astrophysique de Lyon, CNRS UMR 5574, Université Lyon 1)
Publication:
General Relativity and Gravitation, Volume 41, Issue 9, pp.2153-2158 (GReGr Homepage)
Publication Date:
09/2009
Origin:
SPRINGER
Keywords:
General relativity, Weyl tensor, Newtonian limit
DOI:
10.1007/s10714-009-0855-1
Bibliographic Code:
2009GReGr..41.2153E

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.
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