Variational principles for energy-momentum tensors

It is shown that any interaction Lagrangian, depending on a collection of fields and on the metric field on a (space-time) manifold whose energy-momentum tensor depends on at most first derivatives of the metric tensor, is of a certain polynomial character in these derivatives.

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Bibliographic Details
Published in:Reports on mathematical physics 2002-04, Vol.49 (2), p.259-268
Main Author: Krupka, D.
Format: Article
Language:English
Subjects:
Einstein equations
energy-momentum tensor
variational principles
variationality conditions
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Summary:It is shown that any interaction Lagrangian, depending on a collection of fields and on the metric field on a (space-time) manifold whose energy-momentum tensor depends on at most first derivatives of the metric tensor, is of a certain polynomial character in these derivatives.
ISSN:0034-4877
1879-0674
DOI:10.1016/S0034-4877(02)80024-6