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The canonical structure of the massive gravity in the first order movingframe formalism is studied. We work in the simplified context of translationinvariant fields, with mass terms given by general non-derivative interactions,invariant under the diagonal Lorentz group, depending on the moving frame aswell as a fixed reference frame. We prove that the only mass terms which give 5propagating degrees of freedom are the dRGT mass terms, namely those which arelinear in the lapse. We also complete the Hamiltonian analysis with thedynamical evolution of the system.

Translation invariant time-dependent massive gravity: Hamiltonian analysis