Gravity as an internal Yang-Mills gauge field theory of the Poincaré group.

Details Gravity as an internal Yang-Mills gauge field theory of the Poincaré group. Gravity as an internal Yang-Mills gauge field theory of the Poincaré group.

Oct 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gregr..13..947h&link_type=abstract

General Relativity and Gravitation, Volume 13, Issue 10, pp.947-962

Physics

28

Gravitation Theory

Scientific paper

In the framework of affine bundles we present gravity as an “internal” gauge field theory of the Poincaré group. The resulting geometry is a Riemann-Cartan space-time carrying torsion and curvature. In order to admit a nontrivial action of the translation group we formally extend the matter Lagrangian to affine field variables. Finally, we establish the relation of our approach with the formalism of Hehl et al.

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