Power-law solution for homogeneous and isotropic universe in $f(R,T)$ gravity

TL;DR

This paper explores a simple $f(R,T)$ gravity cosmological model with a power-law scale factor, deriving solutions constrained by observational data and analyzing its physical properties.

Contribution

It introduces a specific $f(R,T)$ gravity model with a power-law solution and constrains it using MCMC with observational $H(z)$ data.

Findings

Power-law solution for the universe's expansion

Model parameters constrained by observational data

Discussion of physical and kinematic properties

Abstract

In the present work, we search the simplest cosmological model in $f(R,T)$ gravity by considering its functional form $f(R,T) = R + \xi R T$ with $\xi$ being positive constant. We have constructed the Einstein's field equation in $f(R,T)$ gravity for homogeneous and isotropic space time. The explicit solution of the constructed model is obtained by considering the scale factor as $a = \alpha t^{\beta}$ with $\alpha$ and $\beta$ being free parameters. The values of $\alpha$ and $\beta$ are obtained by using Markov Chain Monte Carlo (MCMC) method to constraining the model under consideration with observational $H(z)$ data. Some physical and kinematic properties of the model are also discussed.