On the Newtonian Limit of the Weyl Tensor

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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6 pages. Dedicated to the memory of Juergen Ehlers. To appear in the upcoming Special Issue of "General Relativity and Gravita

Scientific paper

10.1007/s10714-009-0855-1

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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