Bianchi type I universe filled with 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 interacting scalar and electromagnetic fields in Bianchi type I space–time, by considering the general cases f(R, T) = f ₁(R) + λf ₂(T), $f\left( {R,T} \right) = f_{1} \left( R \right)f_{2} \left( T \right)$ and f(R) theory and its particular cases f(R, T) = R + λT, $f\left( {R,T} \right) = RT$, f(R) = R. It is observed that, even though the cases of f(R, T) are distinct, the convergent and isotropic solution of metric functions can be evolved in each case along with the components of vector potential, corresponding to suitable integrable function in particular cases.