  Recently a new model has been proposed to describe free massive spin-2
particles in $D$ dimensions in terms of a non symmetric rank-2 tensor
$e_{\mu\nu}$ and a mixed symmetry tensor $B^{\mu[\alpha\beta]}$. The model is
invariant under linearized diffeomorphisms without Stueckelberg fields. It
resembles a spin-2 version of the topologically massive spin-1 BF model
(Cremmer-Scherk model). Here we apply the Dirac-Bergmann procedure in order to
identify all Hamiltonian constraints and perform a complete counting of degrees
of freedom. In $D=3+1$ we find 5 degrees of freedom corresponding to helicities
$\pm{2}$, $\pm{1}$, $0$ as expected. The positivity of the reduced Hamiltonian
is proved by using spin projection operators. We have also proposed a parent
action that establishes the duality between the Fierz-Pauli and the new model.
The equivalence between gauge invariant correlation functions of both theories
is demonstrated.
