Integration of Einstein's equations in the weak-field domain using the Einstein gauge

DOI10.1007/BF02435749zbMATH Open0870.35114arXivgr-qc/9807048MaRDI QIDQ679492

Juan-Miguel Gracia

Publication date: 23 April 1997

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/gr-qc/9807048

zbMATH Keywords

Einstein equationsNewtonian potentialde Donder gauge

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Cites Work

• Title not available (Why is that?)
• Higgs-field gravity
• SU(2)\(\times\)U(1) gauge gravity

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