Effect of viscous generalized and modified Chaplygin gas on f(R, G, T ) gravity

This paper is devoted to the study of interaction effect between dark energy and two types of viscous Chaplygin gas models (viscous generalized Chaplygin gas and viscous modified Chaplygin gas) within the modified gravity f (R, G, T ) and in the framework of Friedmann-Robertson-Walker Universe. Through this investigation, we consider two main contents for Universe where for each assumption, the Universe is filled by two interacting fluids with Q, the interaction parameter. These here concerned interactions are firstly the interaction between the generalized viscous Chaplygin gas characterized by xi and eta, bulk and shear viscous coefficients, respectively, and the dark energy and secondly the interaction between the modified viscous Chaplygin gas and dark energy. Indeed, for the both interactions cases, we obtain the resulting modified Friedmann equations as well as the energy density and the pressure of the both interacting fluids. Considering power law and for different interaction parameters Q. The numerical study of the energy density, the pressure and the dark energy state parameter equation, all them provided as a function of cosmic time, shows how the shear and bulk viscosities can affect the cosmological evolution of the Universe.