SL(2C) invariance of the gravitational field

Details SL(2C) invariance of the gravitational field SL(2C) invariance of the gravitational field

Dec 1972

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972gregr...3..317c&link_type=abstract

General Relativity and Gravitation, Volume 3, Issue 4, pp.317-323

Computer Science

1

Scientific paper

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

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