A new Lagrangian for the vacuum Einstein equations and its tetrad form.

Details A new Lagrangian for the vacuum Einstein equations and its tetrad form. A new Lagrangian for the vacuum Einstein equations and its tetrad form.

Dec 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978gregr...9.1075p&link_type=abstract

General Relativity and Gravitation, Volume 9, Issue 12, pp.1075-1087

Physics

11

Gravitation:Relativity

Scientific paper

We give a modification of the Palatini Lagrangian for the free gravitational field that yields the vanishing of the torsion as a result of the field equations and requires only the assumption of the symmetry of the metric. We transcribe this Lagrangian into the tetrad formalism and show how the tetrad form of the Einstein field equations follows from it. Some remarks on possible generalization to a theory with nonvanishing torsion in the presence of matter conclude the paper.

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