Abstract　 　　 

　 The linearized Einstein theory in the approximately flat time- space is modified accounting for a massive graviton as a dark matter in the universe. On the basis of gravito-magnetic Maxwell- Proca-Vlasov equations, the interactions of the gravitoelectromagnetic fields (GEM), involving the vector potential, with gravitons dealing with resonant wave-particle and wave-wave ones are studied. It is found that the behavior of the perturbed GEM fields and the perturbed matter density can be described by Zaharov-like equations. At the first stage of the system structure evolution it is shown that the perturbed field is instable with respect to the collapse, leading to enhancement of the GE field; in other words, the local irregular-- cluster and cavity for the dark matter formed. In this case graviton behaves like a dark matter. Subsequently, at a later stage the graviton tends to drives expansion of the system, then it is as if a dark energy.