Rip models in Ricci-Gauss-Bonnet Cosmology

Abstract

The ultimate fate of the Universe or the possible occurrence of future singularity to interpret the cosmic accelerating expansion phenomena has been discussed in this paper. The gravitational theory comprising of Ricci scalar R and Gauss-Bonnet invariant G, known as f (R, G) gravity has been considered in the quadratic form. Three models with the Hubble parameter that represents finite and infinite future time are presented. The physical and geometrical parameters of the models are analysed. Also, the properties of modified gravitational theory have been examined. The fate of the Universe evolution in this study confronts with neither little or pseudo rip nor the future singularity. The perturbed evolution equations are formulated in the scalar perturbation approach and the stability of the models are shown.