FLRW cosmological models with quark and strange quark matters in f(R,T) gravity

TL;DR

This study explores FLRW cosmological models with magnetized quark and strange quark matter within f(R,T) gravity, deriving exact solutions and comparing them to General Relativity, highlighting conditions with zero magnetic field.

Contribution

It provides new exact solutions for quark matter distributions in f(R,T) gravity using specific parametrizations, and compares these with GR solutions, including Einstein Static Universe cases.

Findings

Models in f(R,T) gravity and GR yield zero magnetic field.

Exact solutions are obtained for different parametrizations.

Physical implications of the models are discussed.

Abstract

In this paper, we have studied the magnetized quark matter (QM) and strange quark matter (SQM) distributions in the presence of $ f(R,T)$ gravity in the background of Friedmann--Lema\^itre--Robertson--Walker (FLRW) metric. To get exact solutions of modified field equations we have used $f(R,T) = R + 2 f(T)$ model given by Harko et al. with two different parametrization of geometrical parameters \textit{i.e.} the parametrization of the deceleration parameter $ q $, and the scale factor $ a $ in hybrid expansion form. Also, we have obtained Einstein Static Universe (ESU) solutions for QM and SQM distributions in $f(R,T)$ gravity and General Relativity (GR). All models in $f(R,T)$ gravity and GR for FRW and ESU Universes with QM also SQM distributions, we get zero magnetic field. These results agree with the solutions of Akta{\c{s} and Ayg\"un in $f(R,T)$ gravity. However, we have also discussed the physical consequences of our obtained models.