A new generic class of charged stellar structure in extended teleparallel gravity

Abstract

In the present work, we proposed a new class of well-behaved charged spherical stellar models in $f\left(T\right)$ gravity. A short review of the formulation of field equations is presented by taking the linear model of torsion function as $f\left(T\right)=\alpha T+\beta$, where $\alpha$ 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–Nordström 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 $f\left(T\right)$ gravity. We meticulously analyze two critical parameters: $\alpha$ 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 for a 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.