Massive gravity, canonical structure and gauge symmetry

Understand

Performing Hamiltonian analysis of the massive gravity [9] in full phase space, we see that the theory is ghost free.

• We also see in a more clear way that this result is intrinsic of the interaction term and does not depend on the variables involved.
• Since no first class constraint emerges, the theory seems to lack gauge symmetry.
• We show that this is due to the presence of an auxiliary field, and the symmetry may be manifest in the Stuckelberg formulation.