The geometry of the SL_{2,c} gauge formulation of general relativity
Abstract
The formulation of Einstein's general theory of relativity as an SL_{2,c} gauge theory is considered. Use is made of the language of fiber bundles and general arguments are put forward in favor of the SL_{2,c} approach to problems connected with the study of the spacetime structure. The possibility of deriving the dynamics of the theory from a YangMillstype Lagrangian density is discussed. Finally, the spinor approach is compared with other approaches to the problem of formulating Einstein's theory as a gauge theory.
 Publication:

Nuovo Cimento B Serie
 Pub Date:
 February 1978
 DOI:
 10.1007/BF02721019
 Bibcode:
 1978NCimB..43..293K
 Keywords:

 Einstein Equations;
 Field Theory (Physics);
 Gravitation Theory;
 Relativity;
 SpaceTime Functions;
 Elementary Particles;
 Fibers (Mathematics);
 Minkowski Space;
 Riemann Manifold;
 Spinor Groups;
 Tensor Analysis;
 Vectors (Mathematics);
 Astrophysics