Study of complexity and isotropization of extended decoupled charged solutions in f (R, T) gravity

This paper extends the domain of existing anisotropic solution of modified f (R, T) field equations to two different charged models via extended gravitational decoupling approach. For this purpose, we consider a static charged sphere whose interior is initially filled with the anisotropic fluid and extend it by engaging a new matter source in the gravitational action. The field equations encompassing the influence of both sources are established corresponding to a linear model of this modified theory. We then transform both radial and temporal metric components to divide the field equations into two under-determined systems in accordance with their parent sources. The unknowns in the first set are tackled by taking certain well-behaved metric potentials. Different constraints, on the other hand, on the additional sector are adopted to solve the second set that lead to two compact models. Further, we consider the radius and mass of a star 4U 1820 - 30 to analyze the impact of charge and modified gravity on the physical relevancy of resulting solutions. Finally, we conclude that only our first suggested model is stable for all parametric choices.