LRS Bianchi-I Universe Model with Domain Wall in f(R,T) Gravity

Abstract In this work, strange quark matter (SQM) and normal matter (NM) attached to domain wall (DW) matter distributions have been examined for locally rotationally symmetric (LRS) Bianchi-I space-time has been investigated. The model has been constructed in the framework of f(R,T) theory for f(R,T) = R + 2μT which is suggested as an alternative gravitation theory instead of Einstein’s General Relativity Theory. Obtained modified field equations have been solved by using scale factors equation A = B m come from the proportion of expansion scalar θ to shear scalar ϖ 2. SQM and NM are added to DW with the help of equations of state (EoS) p m = 1/3 (ρ m − 4B c ) and p m = (γ − 1)ρ m . Pressure and energy densities of all matter distributions have been obtained depending oncosmic time t and their effects decrease by the time. It is found that DW matter behaves like stiff matter due to attaining DW pressure equal to DW energy density p DW = ρ DW . Also obtained values of scale factors and some kinematic quantities give an expanding universe for the model. Energy conditions and kinematic quantities of the model have been examined in the last section. In addition, General Relativity solutions of the model have been attained by assuming μ=0 in f(R,T) = R + 2μT. All solutions have been concluded in detail.