Bardeen Tolman-Kuchowicz spheres in logarithmic-corrected R-2 gravity

This study enlightens the effect of electric charge in the context of Logarithmic-corrected R2 gravity model by assuming the specific form of metric potentials ?(r) = Br-2 + 2ln(C) and ?(r) =ln(1 + ar(2) + br(4)), known as Tolman-Kuchowicz spacetime. The key feature of our study is to assume the Bardeen model to narrate the nature of exterior geometry. This discussion enhances the analysis as the Bardeen black hole solution can be formulated as a gravitationally collapsed magnetic monopole which arises from some particular case of nonlinear electrodynamics. Further, the modified matching conditions, designed for f(R) gravity, have been imposed to compute all the unknown constants involved in metric potentials for the qualitative evaluation of the study. For this purpose, we have studied all the mandatory characteristics of stellar structures like energy density, pressure components, energy bonds, equilibrium condition, stability constraints, mass-radius relation. A comprehensive graphical analysis to ensure the credibility of the f(R) gravity model has been presented. It is worth indicating that our obtained charged anisotropic outcomes are physically well-fitted with the best degree of accuracy.