  In this manuscript, we study the behavior of charged isotropic compact
stellar objects within the framework of the modified Gauss-Bonnety theory of
gravity by considering the Tolman Kuchowicz spacetime. We use some matching
conditions of spherically symmetric space-time with Bardeen model as an
exterior geometry and examine the physical behavior of stellar structures. In
the current analysis, we discuss the energy conditions to check the viability
of our model. Many physical aspects have been examined, such as energy density,
pressure evolution, equation of state parameter, and causality condition.
Furthermore, an equilibrium condition can be visualized through the modified
Tolman-Oppenheimer-Volkov equation. Further, we study mass-radius function,
compactness and redshift function, which are some essential features of the
charged compact star model. It is worthwhile to mention here for the current
study that our stellar structure in the background of Bardeen's model is more
viable and stable.
