Physics
Scientific paper
Oct 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gregr..13..923c&link_type=abstract
General Relativity and Gravitation, Volume 13, Issue 10, pp.923-937
Physics
Gravitation Theory
Scientific paper
We consider a large class of geometric Lagrangian forms defined in the manifold δ of the reference frames. The theories described by those Lagrangians are such that, in an empty region, the manifold δ can be identified with one of the de Sitter groups. The Lagrangian forms are classified according to their symmetry properties with respect to transformation groups acting on the linear space of the infinitesimal transformations of the frames. Requiring invariance with respect to aSO(3) group and a reasonable physical behavior under space reflections, we obtain only three different theories. Then we show that every Lagrangian form of the kind we are considering, is equivalent to anSO(3)-invariant one.
Cognola Guido
Soldati Roberto
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