Communications in Mathematical Physics

, Volume 25, Issue 3, pp 173–189 | Cite as

Variational principles and spatially-homogeneous universes, including rotation

  • M. A. H. MacCallum
  • A. H. Taub
Article
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Abstract

The validity of imposing spatial homogeneity on the variations in the usual action principle for Einstein's equations is studied. It is proved that with this procedure the standard and ADM Lagrangians give correct Einstein equations if and only if the space belongs to Class A of Ellis and MacCallum [1], i.e., the structure constants of the simply transitive group satisfy C fg f =0. The possibility of overcoming this difficulty in the Class B spaces is examined.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Variational Principle 
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Copyright information

© Springer-Verlag 1972

Authors and Affiliations

  • M. A. H. MacCallum
    • 1
  • A. H. Taub
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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