Exploring anisotropic spherical structures with vanishing complexity constraints in f(ℝ,T2) gravity

In this paper, we use vanishing complexity constraint to examine the anisotropic static spherical structures in [Formula: see text] theory, where [Formula: see text] represents the curvature invariant and [Formula: see text] defines the self-contraction of the stress–energy–momentum tensor. This condition provides additional viable constraints to resolve the field equations. Furthermore, we use the Weyl tensor and obtain different structure scalars by orthogonally splitting the Riemann tensor. One of these scalars, [Formula: see text], is referred to as the complexity factor which measures the system complexity due to nonuniform energy density and nonisotropic pressure. We also conduct a graphical analysis of the resulting solutions, using specific parametric values for the evaluation. Our analysis demonstrates that, under the selected parametric values, the proposed models are both feasible and stable. It is noteworthy to mention here that the presence of corrective terms reduces the complexity of the system.