Probing the structure of compact stars through non-vanishing torsional framework and anisotropic fluid dynamics

This study develops two distinct regular solutions formulated under the non-vanishing torsional framework, characterizing non-uniform spherically symmetric fluid structures. Considering the anisotropic matter within a static inner geometry, we formulate the gravitational field equations corresponding to a particular gravity model. Two specific constraints are subsequently imposed on these equations to simplify the system, resulting in a pair of well-behaved solutions. The analysis entails addressing differential equations, yielding expressions admitting arbitrary constants, which are determined by matching the internal geometry to the external Schwarzschild spacetime. An additional requirement, zero radial pressure at the star’s boundary, acts as a crucial constraint in this framework. Next, we assess the key conditions required for the theoretical models to be regarded as physically meaningful. Observational data from two compact stars, LMC X-4, and 4U 1820-30 are utilized to graphically assess the validity of our solutions. This study finally demonstrates that each of the derived stellar models fulfills the necessary physical acceptability criteria for particular choices of model parameters.