Degrees of freedom and Hamiltonian formalism for $f(T)$ gravity

Abstract

The existence of an extra degree of freedom (d.o.f.) in $f(T)$ gravity has been recently proved by means of the Dirac formalism for constrained Hamiltonian systems. We will show a toy model displaying the essential feature of $f(T)$ gravity, which is the pseudoinvariance of T under a local symmetry, to understand the nature of the extra d.o.f.

4 pages, no figures, to appear in the conference proceedings of the 10th Alexander Friedmann International Seminar on Gravitation and Cosmology, International Journal of Modern Physics A, World Scientific Publishing Company