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On the Newtonian limit of the Weyl tensor

2009/07/11 by Jürgen Ehlers, Juergen Ehlers, Thomas Buchert · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #astro-ph.CO #gr-qc

paper · pdf · doi:10.1007/s10714-009-0855-1

published as Gen.Rel.Grav.41:2153-2158,2009 · 6 pages. Dedicated to the memory of Juergen Ehlers. To appear in the upcoming Special Issue of "General Relativity and Gravitation"

openalex publication_date 2009/07/11 · arxiv created 2009/07/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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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