Abstract

The gauge character of the vierbein field is investigated by introducing the Yang-Mills fields associated with the de Sitter gauge group and by contracting the de Sitter group to the Poincar\'e group. The vierbein field can indeed be seen as a gauge field consisting of the Yang-Mills fields associated with both the Lorentz and the translational symmetry. The local Lorentz invariance is found essential to deduce Einstein's theory of general relativity.

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