M. Z. Bhatti, Abdul Rehman, Mohammad Alshammari, Othman Abdullah Almatroud, Saleh Alshammari, Z. Yousaf
In this paper, we intend to define complexity related to the self-gravitating composition in a new way by assuming the formalism of [Formula: see text] theory. The irrotational spherically static space-time associated with a spatially anisotropic fluid is contemplated in this regard along with the orthogonal decomposition of Riemann tensor by assuming the formalism related to modified field equations and the conservation law. We perceive [Formula: see text] as a complexity factor out of all the determined structural scalars, which includes the features of anisotropic pressure and the compelling appearance of the energy density. The correction terms related to [Formula: see text] theory are essential for deriving some particular results for the Tolman mass, Weyl scalar, and complexity factor. Furthermore, the scalars determined in our case study are employed to derive the result for the complexity factor and the restriction of the diminishing complexity is considered to calculate the solutions related to certain models. A self-gravitational fluid with non-uniform energy density and anisotropic pressure exhibits ultimate complexity. However, these fluids might have no complexity if the impacts of anisotropic pressure and non-uniformity in energy density are canceled due to the appearance of correction values associated with [Formula: see text] theory.