Conserved quantities of the gravitational field in tetrad notation

We reexpress in tetrad form the background dependent family of superpotentials for the first-order Lagrangians which generate Einstein’s field equations, found in an earlier paper. Using a result on the pull-back properties of the Poincar´eCartan forms for second-order Lagrangian field theories, we...

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Bibliographic Details
Main Authors: M. FERRARIS, M. FRANCAVIGLIA, M. MOTTINI
Format: Article
Language:English
Published: Sapienza Università Editrice 1994-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1994(3)/457-481.pdf
Description
Summary:We reexpress in tetrad form the background dependent family of superpotentials for the first-order Lagrangians which generate Einstein’s field equations, found in an earlier paper. Using a result on the pull-back properties of the Poincar´eCartan forms for second-order Lagrangian field theories, we show that these superpotentials are the superpotentials corresponding to a Lorentz invariant family of first-order tetrad Lagrangians.
ISSN:1120-7183
2532-3350