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SL(2, C) invariance and the gravitational field

✍ Scribed by Moshe Carmeli

Publisher: Elsevier Science
Year: 1972
Tongue: English
Weight: 468 KB
Volume: 71
Category: Article
ISSN: 0003-4916
DOI: 10.1016/0003-4916(72)90135-2

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✦ Synopsis

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 of Utiyama and Kibble who related invariance under the Lorentz and the Poincare groups to the existence of the gravitational field, is discussed.

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