Dynamics of quasi de Sitter and linear combination of exponential models in extended gravity

Abstract

In this paper, we have studied the dynamical aspects of some cosmological models in an isotropic space-time within the framework of an extended gravity theory. Two accelerating cosmological models are presented with quasi-de Sitter (QDS) and linear combination of exponential (LCE) scale factors. The geometrical testing mechanism has been performed and analysed. While the results of the QDS model show a departure from the concordant $\Lambda$CDM model, the resulting behavior of the LCE model seems to be compatible with the $\Lambda$CDM model only at the present epoch and is incompatible in the near past.