Reconstruction of some cosmological models in f(R,T) gravity

TL;DR

This paper reconstructs various cosmological models within the $f(R,T)$ gravity framework, demonstrating compatibility with observational data and including models like $ ext{Lambda CDM}$, phantom cosmology, and scalar fields.

Contribution

It introduces new reconstructions of cosmological models in $f(R,T)$ gravity, including Chaplygin gas and scalar fields, with numerical validation against observational data.

Findings

Dust fluid models reproduce $ ext{Lambda CDM}$ and phantom cosmologies.

Numerical simulations align well with BAO data at low redshifts.

Reconstructed models encompass diverse cosmological scenarios.

Abstract

In this paper, we reconstruct cosmological models in the framework of $f(R,T)$ gravity, where $R$ is the Ricci scalar and $T$ is the trace of the stress-energy tensor. We show that the dust fluid reproduces $\Lambda $CDM, phantom-non-phantom era and the phantom cosmology. Further, we reconstruct different cosmological models including, Chaplygin gas, scalar field with some specific forms of $f(R,T)$. Our numerical simulation for Hubble parameter shows good agreement with the BAO observational data for low redshifts $z<2$.