Abstract

The formulation of Einstein’s general theory of relativity as anSL2,C gauge theory is considered. Use is made of the language of fibre bundles and general arguments are put forward in favour of theSL2,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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