International Journal of Theoretical Physics

, Volume 36, Issue 2, pp 559–567 | Cite as

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

  • E. Hitzer
  • H. Dehnen


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.


Green Function Einstein Equation Newtonian Potential Newtonian Limit Polytropic Index 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Bergmann, P. G. (1942).Introduction to the Theory of Relativity. Prentice-Hall., Englewood Cliffs, New Jersey.Google Scholar
  2. Dehnen, H., and Obregon, O. (1971).Astronomy and Astrophysics,12, 161.ADSGoogle Scholar
  3. Dehnen, H., and Hitzer, E. (1994).International Journal of Theoretical Physics,29, 537.MathSciNetCrossRefGoogle Scholar
  4. Dehnen, H., and Hitzer, E. (1995).International Journal of Theoretical Physics,34, 1981.MATHMathSciNetGoogle Scholar
  5. Einstein, A. (1916).Annalen der Physik,49, 769.MATHADSGoogle Scholar
  6. Fock, V. (1964).The Theory of Space, Time and Gravitation, Pergamon Press, Oxford.Google Scholar

Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • E. Hitzer
    • 1
  • H. Dehnen
    • 1
  1. 1.Physics DepartmentUniversity of KonstanzKonstanzGermany

Personalised recommendations