Magnetized cosmological model with variable deceleration parameter

TL;DR

This paper develops a magnetized cosmological model within an extended gravity framework, analyzing its evolution with a variable deceleration parameter and showing it mimics the $ ext{Lambda}_{CDM}$ model at late times.

Contribution

It introduces a new anisotropic magnetized cosmological model with a variable deceleration parameter in extended gravity theory, analyzing its late-time behavior.

Findings

Model behaves as $ ext{Lambda}_{CDM}$ at late times

Physical parameters are derived using algebraic methods

The model incorporates a time-varying scale factor

Abstract

In this paper, we have derived the field equations in an extended theory of gravity in an anisotropic space time background and in the presence of magnetic field. The physical and geometrical parameters of the models are determined with respect to the Hubble parameter using some algebraic approaches. A time varying scale factor has been introduced to analyze the behavior of the model. From some diagnostic approach, we found that the model behaves as $\Lambda_{CDM}$ model at late time of cosmic evolution.