Statefinder diagnostic for modified Chaplygin gas cosmology in f(R,T) gravity with particle creation

TL;DR

This paper investigates a flat FLRW cosmological model with modified Chaplygin gas in f(R,T) gravity, analyzing its evolution, stability, and statefinder diagnostics to understand its physical and kinematic properties.

Contribution

It introduces a specific parametrization of the Hubble parameter within f(R,T) gravity with particle creation, providing new insights into the evolution and stability of Chaplygin gas cosmologies.

Findings

Unique behavior of the scale factor in the models.

Statefinder diagnostics characterize the models' evolution.

Analysis of stability and physical implications.

Abstract

In this paper, we have studied flat Friedmann--Lema\^{\i}tre--Robertson--Walker (FLRW) model with modified Chaplygin gas (MCG) having equation of state $p_{m}=A\rho -% \frac{B}{\rho ^{\gamma }}$, where $0\leq A\leq 1$, $0\leq \gamma \leq 1$ and $B$ is any positive constant in }${\footnotesize f(R,T)}${\footnotesize \ gravity with particle creation. We have considered a simple parametrization of the Hubble parameter $H$ in order to solve the field equations and discussed the time evolution of different cosmological parameters for some obtained models showing unique behavior of scale factor. We have also discussed the statefinder diagnostic pair $\{r,s\}$ that characterizes the evolution of obtained models and explore their stability. The physical consequences of the models and their kinematic behaviors have also been scrutinized here in some detail.