Hamiltonian formulation of modified teleparallel theories of gravity

RAFAEL FERRARO; MARÍA JOSÉ GUZMÁN MONSALVE

Buenos Aires

Congreso; II Argentinian-Brazilian Meeting on Gravitation, Astrophysics and Cosmology; 2014

In this talk we will review the Hamiltonian formulation of f(T) theories of gravity. The teleparallel equivalent of general relativity (TEGR) is a theory for the tetrad field which has no curvature, but torsion. It is used the Weitzenböck connection and the Lagrangian is built from the torsion scalar T. The theory is equivalent to General Relativity up to a border term. f(T) gravity has the same spirit than f(R) theories, it is a generalization of the Lagrangian for TEGR with an arbitrary function f. We will give particular emphasis to the degrees of freedom of the theory.