Abstract
The gauge theory of gravitation invariant underO 5 and the general co-ordinate transformations is formulated by using Dirac’s Hamiltonian formalism. The tetrad field is introduced as a connection of theO 5 gauge group. By fixing the boost part of this gauge freedom, the spin connection is eliminated by using second-class constraints. As a result the system is described by the tetrad field with a set of first-class constraints associated to the local Lorentz and the general co-ordinate transformations.
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