SL(2C) invariance of the gravitational field

Moshe Carmeli

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


The gravitational field equations of general relativity theory are cast into a Yang-Mills-type theory by use of the group SL(2,C). The spin coefficients take the rôle of the Yang-Mills-like potentials, whereas the Riemann tensor takes the rôle 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)317-323
Number of pages7
JournalGeneral Relativity and Gravitation
Issue number4
StatePublished - 1 Dec 1972
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


Dive into the research topics of 'SL(2C) invariance of the gravitational field'. Together they form a unique fingerprint.

Cite this