The geometry of the SL2,c gauge formulation of general relativity

Details The geometry of the SL2,c gauge formulation of general relativity The geometry of the SL2,c gauge formulation of general relativity

Feb 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ncimb..43..293k&link_type=abstract

Nuovo Cimento, Sezione B, vol. 43 B, Feb. 11, 1978, p. 293-309.

Mathematics

2

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)

Scientific paper

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.

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