Anew generic class of charged stellar structure in extended teleparallel gravity

In the present work, we proposed anew class of well-behaved charged spherical stellar models in f(T) gravity. A short review of the formulation of field equations is presented by taking the linear model of torsion function as f(T) = aT+/3, where a is the coupling parameter of the theory, which is responsible for the deviation from the slandered General Relativity (GR) theory and explains the matter field's tendency to couple with geometry. To obtain a realistic solution to the established field equations we have selected a well-behaved ansatz of generalized Tolman-Kuchowicz (GTK) potential functions and the well-studied MIT bag model equation of state. As an external geometry, we include the Reissner-Nordstr & ouml;m solution for matching conditions to identify the unknown constants resulting from the GTK metric. The proposed model undergoes comprehensive validation to confirm its viability as a physically consistent compact object within the framework of f(T) gravity. We meticulously analyze two critical parameters: a and n, examining their effects on the mass, radius, and overall stability of the stellar configuration. Our investigations reveal that the model demonstrates stable behavior, devoid of singularities, and successfully accounts fora diverse array of observed compact objects in astrophysics. This thorough examination ensures that the model adheres to necessary physical criteria, reinforcing its potential applicability to understanding compact star phenomena.