Charged anisotropic Starobinsky models admitting vanishing complexity

Abstract

Unveiling the notion of complexity within the static spherical distribution, this paper extends its exploration in the charged $f\left(R\right)$ framework. For this, we start with the formulation of the modified Einstein–Maxwell field equations, describing the anisotropic interior. By orthogonally splitting the curvature tensor, a collection of specific scalars emerges, with one standout, $Y_{TF}$, titled as the complexity factor in the current fluid distribution. Tackling the field equations with additional degrees of freedom, we introduce the vanishing complexity condition. This condition, combined with three additional constraints, paves the way for the development of different models. The resulting solutions are also illustrated graphically for chosen parametric values. Through this analysis, we draw the compelling conclusion that all three models fulfill the essential criteria necessary for physically relevant structures to exist for specific parametric values.