Investigating the physical and geometrical parameters of the cosmological models with anisotropic background

Abstract

In this paper, we have investigated some accelerating cosmological models at the backdrop of an anisotropic metric in an extended gravity theory. Two viable cosmological models one with a little rip behaviour and the other with a hyperbolic form of Hubble parameter have been constructed. The dynamical aspects of the models along with some physical and geometrical parameters are analysed. Both the models presented here evolve in the phantom-like region and overlap with $\Lambda$CDM model at late times. We carried out a geometrical diagnosis of the model to show the viability of the models.