Classical and quantum minimal bigravity cosmology

In a Friedmann-Robertson-Walker (FRW) space background we go through the classical and quantum cosmological models in the context of the recently proposed nonlinear minimal massive bigravity. We have shown in the presence of ordinary matter with energy density \rho that the classical field equations of such a theory adopt physical solutions for the FRW model, in which the mass term correction of GR shows itself as a cosmological constant. For different space curvature values the FRW solutions will be studied. In the presence of perfect fluid in its schutz’s representation, we obtain a descriptive result. We then use the well-known canonical quantization procedure in the considering cosmological setting to find the cosmological wave functions.