SL(2, C) invariance and the gravitational field

Moshe Carmeli

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


The gravitational field equations of general relativity theory are cast into a Yang-Mills type of theory by use of the group SL(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 Poincaré groups to the existence of the gravitational field, is discussed.

Original languageEnglish
Pages (from-to)603-610
Number of pages8
JournalAnnals of Physics
Issue number2
StatePublished - 1 Jan 1972
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


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