Nonmetric geometry and its role in the isotropization of self-Gravitating stellar models

This work employs the gravitational decoupling scheme to study static, astrophysically compact fluid spheres within the linear functional framework of the nonmetricity-based gravity model. The motivation behind this theoretical study is twofold. On the one hand, we explore the potential effects of nonmetricity on the formation and physical characteristics of astrophysical stellar configurations exhibiting inhomogeneous matter density and pressure anisotropy. On the other hand, this work allows us to develop an effective scheme for continuously isotropizing anisotropic solutions to the equations of motion and constructing novel compact configurations with either preserved or vanishing gravitational complexity. For this purpose, we employ the minimal gravitational decoupling approach to construct closed-form stellar solutions in an astrophysical context. This strategy offers a mechanism to deform the radial metric function via a linear transformation, effectively splitting the system into two independent gravitational sources, whose individual solutions can then be combined to represent the complete configuration. Several illustrative examples are provided to demonstrate the applicability of the approach.