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SL2,Csymmetry of the gravitational field

โœ Scribed by M. Carmeli


Book ID
112836695
Publisher
Springer-Verlag
Year
1972
Weight
450 KB
Volume
7
Category
Article
ISSN
0369-3546

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๐Ÿ“œ SIMILAR VOLUMES


SL(2, C) invariance and the gravitationa
โœ Moshe Carmeli ๐Ÿ“‚ Article ๐Ÿ“… 1972 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 468 KB

The gravitational field equations of general relativity theory are cast into a Yang-Mills type of theory by use of the group X(2, C). The spin coefficients take the role of the Yang-Mills-like potentials, whereas the Riemann tensor takes the role of the fields. Comparison of this formalism with that

Palatini-type variational principle for
โœ M Carmeli; M Kaye ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 382 KB

An explicitly SL(2, C) gauge-invariant Lagrangian density, equivalent to Hilbert's Lagrangian density, is written, and a Palatini-type variational principle is applied to it. The resulting field equations are Einstein's equations written in dyad notation and a set of equations defining the spin coef