Dynamical study on how f(T,𝕋) gravity theory and anisotropic fluid reshape compact stellar structures

This work develops two novel singularity-free solutions in the framework of [Formula: see text] gravity which describe anisotropic spherically symmetric matter configurations. By incorporating the effects of anisotropic fluid within a static interior metric, we derive the modified Einstein field equations under a particular gravity model. Two special restrictions that make system easy to solve are then applied to the field equations, leading to a couple of distinct solutions. The study involves solving differential equations and the resulting expressions contain integration constants which are identified by enforcing boundary conditions between the interior metric and the exterior Schwarzschild spacetime. Another crucial restriction is the vanishing radial pressure requirement at the surface of a star. Afterward, we analyze the necessary conditions that must be fulfilled for theoretical models to manifest as physically viable systems. We employ observational data from three known compact stars Cen X-3, SMC X-4, and LMC X-4 to graphically evaluate our theoretical solutions. Our investigation confirms that both stellar solutions satisfy the physical existence criteria for specific model parametric choices.