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SL(2C) invariance of the gravitational field

โœ Scribed by Moshe Carmeli

Publisher
Springer US
Year
1972
Tongue
English
Weight
364 KB
Volume
3
Category
Article
ISSN
0001-7701

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๐Ÿ“œ SIMILAR VOLUMES

SL(2, C) invariance and the gravitationa
SL(2, C) invariance and the gravitational field
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

SL(2, C) invariance and the gravitationa
SL(2, C) invariance and the gravitational field: Moshe Carmeli. General Physics Research Laboratory, Aerospace Research Laboratories, Wright-Patterson AFB, Ohio 45433
๐Ÿ“‚ Article ๐Ÿ“… 1972 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 70 KB

The constitutive map is introduced to replace the familiar relation ij : EE and B = &. Its objective is a rigorous functional separation between field-and constitutive equations. The possibility to implement this functional separation is shown to depend critically on the introduction of electric cha

Conjugacy invariants of Sl(2,H)
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โœ B. Foreman ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 202 KB
Palatini-type variational principle for
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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