The geometry of the SL2,c gauge formulation of general relativity
Abstract
The formulation of Einstein's general theory of relativity as an SL2,c gauge theory is considered. Use is made of the language of fiber bundles and general arguments are put forward in favor of the SL2,c approach to problems connected with the study of the space-time structure. The possibility of deriving the dynamics of the theory from a Yang-Mills-type 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;
- Space-Time Functions;
- Elementary Particles;
- Fibers (Mathematics);
- Minkowski Space;
- Riemann Manifold;
- Spinor Groups;
- Tensor Analysis;
- Vectors (Mathematics);
- Astrophysics