Dynamics of complexity and isotropization through gravitational decoupling in f(𝒯 ) gravity

This paper incorporates minimal geometric distortion, a widely used gravitational methodology, to analyze the significance of decoupling in the backdrop of [Formula: see text] gravity for isotropizing anisotropic, self-consistent systems exhibiting spherical symmetry. The modified system, along with the gravitational structure controlled by an extra source, is one of the two gravitational frameworks created using this technique. Within the context of the MGD scheme, we use innovative methods, such as the zero complexity factor along with isotropization strategies, to build multiple models of dense stars utilizing the Tolman IV as an initial source. When the Riemann–Christoffel curvature tensor is divided orthogonally, one of the scalar values that defines the structure is defined as the complexity factor. This scalar function, represented by the [Formula: see text], is linked to the primary structural features of self-gravitational dense structures. Our method is novel in that it uses isotropization methods to simulate anisotropic setups and imposes the requirement that [Formula: see text] to calculate the distortion parameters in the context of [Formula: see text] gravity.