Plane Symmetric Universe Filled with Combination of Perfect Fluid & Scalar Field Coupled with Electromagnetic Fields in f(R, T) Theory of Gravity

Abstract

In f(R, T) theory of gravity, we have studied the combination of perfect fluid and scalar field interacting with electromagnetic fields in plane symmetric universe, by considering the general cases f(R, T) = f₁(R) + λf₂(T), f(R, T) = f₁(R)f₂(T),  f(R, T) = f₁(R) theory and its particular cases f(R, T) = R + λT,  f(R, T) = RT.  It is observed that, even though the cases of f(R, T) are distinct, the convergent, non-singular and isotropic solution of metric function can be evolved in each case along with the components of vector potential, corresponding to suitable integrable function in particular cases.