On a Weyl‐type theorem for higher‐order Lagrangians

Weyl’s theorem is extended making use of the theory of concomitants to obtain a Lagrangian density for the massless bosonic fields without dimensional constants. It turns out to be quadratic in the gravitational field and encompasses all the theories that usually appear in the literature. It is show...

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Bibliographic Details
Published in:Journal of mathematical physics 1987-08, Vol.28 (8), p.1854-1857
Main Authors: Castagnino, M., Domenech, G., Noriega, R. J., Schifini, C. G.
Format: Article
Language:English
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Summary:Weyl’s theorem is extended making use of the theory of concomitants to obtain a Lagrangian density for the massless bosonic fields without dimensional constants. It turns out to be quadratic in the gravitational field and encompasses all the theories that usually appear in the literature. It is shown that the gauge invariance of the Lagrangian follows from the invariance of the field equations.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.527447