Generators of local Lorentz transformation in ADM-Vielbein formalism of gravitational relativity

Abstract

General relativity contains 16 variables in the framework of ADM-Vielbein formalism, which are six more than in the metric formalism. These variables emerge due to the additional symmetry of local Lorentz transformations. In the framework of the Hamiltonian approach, it is expected to find first class constraints that generate this gauge symmetry. We introduce the complete form of such constraints and show that they exactly obey the algebra of the Lorentz group.