SUMMARY
A general approach for description of multigravity models in D-dimensional space-time (D > 3) is presented. Different possibilities of generalization of the invariant volume and general form of the interaction potential is proposed. A thorough analysis of the bigravity model along the 3+1 expansion formalism is made. The requirement of the absence of ghosts leads to the equivalence of the model to the massive gravity (the Pauli-Fierz model).