Relativistic stellar structures in non-minimal matter-torsion coupled gravity under charged fluid content

In this study, we derive two unique singularity-free solutions for anisotropic spherically symmetric systems coupled with an electromagnetic field under f ( T , T ) gravity. We formulate the modified Einstein-Maxwell field equations for a static charged interior spacetime. To simplify the solution process, we introduce two different forms of the radial metric component into the field equations. Two distinct models are then obtained by applying certain forms of anisotropic pressure. In each case, the system reduces to a set of differential equations whose solutions contain arbitrary constants. These constants are fixed by imposing junction conditions between the interior solution and the exterior Reissner-Nordström spacetime across the spherical interface. Afterwards, we check certain requirements that, when met, lead to physically existing stellar models. For graphical analysis of both models, we use the observational data of two stars, namely Her X-1 and LMC X-4. Finally, our findings demonstrate that both the developed models meet the physically existent criteria in the considered matter-torsion coupled gravity under the presence of charged fluid distribution.