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Integration of Einstein's Equations in the Weak Field Domain Using the "Einstein" Gauge

E. Hitzer·H. Dehnen
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Abstract

We propose a new alternative gauge for the Einstein equations instead of the de Donder gauge, which allows in the limit of weak fields a straightforward integration of these equations. The Newtonian potential plays a new interesting role in this framework. The calculations are demonstrated explicitely for 2 simple astrophysical models.

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E. Hitzer, H. Dehnen. 1998-07-18. Integration of Einstein's Equations in the Weak Field Domain Using the "Einstein" Gauge. https://arxiv.org/abs/gr-qc/9807048

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