An Investigation into Linearly and Anisotropic Expansion in f(R,T) Theory

In the present work, locally rotationally symmetric (LRS) Bianchi V universe filled with perfect fluid matter is investigated in f(R, T) gravity. The matter content is modeled as strange quark matter (SQM), strange quark bag model (SQBM) and quark matter (QM) using equations of state (EoS). The model f(R, T) = R+2f(T) which is one of Harko’s models is assumed to construct modified field equations (MFEs). A linearly varying deceleration parameter (LVDP) has been used to get solutions of MFEs. The results of the linearly expanding model (LEM) show that SQM and QM behave like non-relativistic matter and dark energy, respectively, for specific values of the model parameters. All matter forms of the constant expanding model (CEM), and SQM of the exponential expanding model (XEM) play the role of dark energy under specific conditions. Also, energy conditions have been examined for the constructed models . On the other hand, all obtained solutions within the framework of f(R, T) gravity reduce to the corresponding solution in General Relativity (GR).