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- Publisher
- Springer Journals
- Copyright
- Copyright
- Subject
- Physics; Theoretical, Mathematical and Computational Physics; Classical and Quantum Gravitation, Relativity Theory; Differential Geometry; Astronomy, Astrophysics and Cosmology; Quantum Physics
- ISSN
- 0001-7701
- eISSN
- 1572-9532
- DOI
- 10.1007/BF00756575
- Publisher site
- See Article on Publisher Site
Abstract
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.
Journal
General Relativity and Gravitation – Springer Journals
Published: Nov 22, 2004