Two variational principles for second order materials within general relativity
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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.
KeywordsTotal Energy General Relativity Variational Principle Conservation Equation Reference Configuration
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