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SL(2,C) Gauge Theory of Gravitation and the Quantization of the Gravitational Field

✍ Scribed by Moshe Carmeli; Shimon Malin

Book ID
111566072
Publisher
Springer
Year
1998
Tongue
English
Weight
89 KB
Volume
37
Category
Article
ISSN
0020-7748

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πŸ“œ SIMILAR VOLUMES

SL(2, C) invariance and the gravitationa
SL(2, C) invariance and the gravitational field
✍ Moshe Carmeli πŸ“‚ Article πŸ“… 1972 πŸ› Elsevier Science 🌐 English βš– 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
Palatini-type variational principle for the SL(2, C) gauge theory of gravitation
✍ M Carmeli; M Kaye πŸ“‚ Article πŸ“… 1978 πŸ› Elsevier Science 🌐 English βš– 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