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

TL;DR

This paper investigates the dynamics of two cosmological models in extended gravity, focusing on quasi-de Sitter and exponential scale factors, analyzing their compatibility with the standard Lambda-CDM model.

Contribution

It introduces and analyzes two specific accelerating cosmological models within extended gravity, highlighting their dynamical behavior and compatibility with observational data.

Findings

QDS model departs from Lambda-CDM

LCE model aligns with Lambda-CDM at present

LCE model is incompatible with Lambda-CDM in the near past

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.