Integration of Einstein's equations in the weak-field domain using the “Einstein” gauge
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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 and interesting role in this framework. The calculations are demonstrated explicitly for two simple astrophysical models.
KeywordsGreen Function Einstein Equation Newtonian Potential Newtonian Limit Polytropic Index
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