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In this article, we propose a physical condition to extend interior isotropicsolutions to anisotropic domains by gravitational decoupling in the frameworkof the Minimal Geometric Deformation approach. In particular, it is found thatby using an expression reminiscent of the classical anisotropy factor, we canclose the decoupling system of equations and a new anisotropic solution can befound. As an example, we extend the well--known Tolman IV.

Beyond classical anisotropy and a new look to relativistic stars: a gravitational decoupling approach