HAMILTONIAN-FORMULATION OF THE TELEPARALLEL DESCRIPTION OF GENERAL-RELATIVITY

The Hamiltonian formulation of the teleparallel description of Einstein's general relativity is established. Under a particular gauge fixing the Hamiltonian of the theory is written in terms of first class constraints. The algebra of the Hamiltonian and vector constraints resembles that of the standard Arnowitt-Deser-Misner formulation. This geometrical framework might be relevant as it is known that in manifolds with vanishing curvature tenser but with nonzero torsion tenser it is possible to carry out a simple construction of Becchi-Rouet-Stora-Tyutin-like operators.