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

TL;DR

This paper explores two accelerating anisotropic cosmological models within extended gravity, analyzing their physical parameters, evolution, and viability, showing they resemble the Lambda-CDM model at late times.

Contribution

It introduces two new anisotropic cosmological models with specific Hubble parameter forms and analyzes their physical and geometrical properties within extended gravity.

Findings

Both models evolve in the phantom-like region.

Models overlap with Lambda-CDM at late times.

Geometrical diagnosis confirms model viability.

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.