CONICET | Buscador de Institutos y Recursos Humanos

Teleparallel gravity (TG) is a theory of gravity where the tetrad field is the dynamical variable. The TG Lagrangian is quadratic in the torsion of the Weitzenböck connection, which represents a curvatureless spacetime with torsion. We develop the Hamiltonian formulation of TG from a Lagrangian that is quadratic in the coefficients of anholonomy of the tetrad. We build the Hamiltonian with the Moore-Penrose pseudoinverse of the matrix that relates the canonical velocities and momenta, and then obtain a set of primary and secondary constraints. We prove that the set is first class and generates gauge transformations in the tetrad.