LAUSR

In this paper, we have studied the magnetized quark matter (QM) and strange quark matter (SQM) distributions in the presence of f(R,T)$f(R,T)$ gravity in the background of Friedmann-Lemaître-Robertson-Walker (FLRW) metric. To get exact solutions of modified field equations we have used f(R,T)=R+2f(T)$f(R,T ) = R + 2 f(T)$ model given by Harko et al. with two different parametrization of geometrical parameters i.e. the parametrization of the deceleration parameter q$q $, and the scale factor a$a $ in hybrid expansion form. Also, we have obtained Einstein Static Universe (ESU) solutions for QM and SQM distributions in f(R,T)$f(R,T)$ gravity and General Relativity (GR). All models in f(R,T)$f(R,T)$ 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 Aktaş and Aygün in f(R,T)$f(R,T)$ gravity. However, we have also discussed the physical consequences of our obtained models.