Little Rip, Pseudo Rip and bounce cosmology from generalized equation of state in the universe with spatial curvature

Abstract

We consider the Little Rip (LR), Pseudo Rip (PR) and bounce cosmological models in the Friedmann–Robertson–Walker (FRW) metric with nonzero spatial curvature. We describe the evolution of the universe using a generalized equation of state (EoS) in the presence of a viscous fluid. The conditions of the occurrence of the LR, PR and bounce were obtained from the point of view of the parameters of the generalized EoS for the cosmic dark fluid, taking into account the spatial curvature. The analytical expressions for the spatial curvature were obtained. Asymptotic cases of the early and late universe are considered. A method of Darboux transformation (DT) was proposed in the case of models of an accelerating universe with viscosity.