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Annali di Matematica Pura ed Applicata

, Volume 106, Issue 1, pp 315–327 | Cite as

Two variational principles for second order materials within general relativity

  • Mario Pitteri
Article

Summary

Two variational principles for second order materials are stated in general relativity; the gravitation equations implied by the first variational principle are proved to be compatible with the conservation equations derived from the second one in that all these equations involve the same total energy tensor. The terms of this tensor have a Lagrangian definition, hence a priori they seem to depend on the choice of the reference configuration; we prove that this is not the case.

Keywords

Total Energy General Relativity Variational Principle Conservation Equation Reference Configuration 
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.

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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1975

Authors and Affiliations

  • Mario Pitteri
    • 1
  1. 1.Padova

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