Gravitational Energy-momentum And The Hamiltonian Formulation Of The Teleparallel Gravity

Gravitational energy-momentum and the Hamiltonian formulation of the teleparallel gravityThe transformation properties of the gravitational energy-momentum in the teleparallel gravity are analyzed. It is proved that the gravitational energy-momentum in the teleparale gravity can be expressed in the terms of the Lorentz gauge potential and therefore is not covariant under local Lorentz transformations. On the other hand, it can also be expressed in the terms of the translation gauge field strength and therefore is covariant under general coordinate transformations. A simplified Hamiltonian formulation of the teleparallel is given. Its constraint algebra has the same structure as that of general relativity, which indicates the equivalence between the teleparallel gravity and general relativity in the Hamiltonian formulation.