Abstract

The theories of electromagnetism and gravitation are the best understood classical field theories. The former serves as model for gauge theories which are conjectured to describe weak and strong interactions. It is therefore natural to ask whether Einstein’s theory (G.R.) of gravitation is such a gauge theory. In G.R. one considers the metric g as the analogue to the potential A and the connection ω (the generalized Christoffel symbols) as the analogue to the field strength F. This is not what formally appears in a gauge theory of gravitation where ω corresponds to the potential and the curvature R to the field strength:

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