Extending Anisotropic Interiors admitting Vanishing Complexity in Charged f (R, T) Theory

This paper extends the definition of the complexity factor for a charged self-gravitating structure in the background of $f(R,T)$ gravity. For this purpose, the modified Einstein-Maxwell field equations and the mass function in terms of interior charge are calculated corresponding to a static sphere. The Reissner-Nordström exterior spacetime and match it with the spherical interior at the hypersurface to determine the junction conditions are adopted then. The curvature tensor is also decomposed orthogonally, resulting in several scalar functions. Only $Y_{TF}$ encompasses all the required parameters and fulfills the proposed criteria to be the complexity factor for the considered setup is noticed. Moreover, some constraints to minimize the degrees of freedom in the field equations are chosen. To achieve this, complexity-free constraint with four additional conditions depending on the matter sector that lead to different models is employed. The stability of the developed models is also analyzed in the presence and absence of charge through the standard model $R+2{\xi }_{3}T$ by varying the values of the model parameter ${\xi }_3$. The presence of charge in compact models corresponding to $P_r=0$, a polytropic and a linear equation of state make them stable for specific values of ${\xi }_3$ is concluded.