Compact Bardeen stars in f($R$, T) theory with conformal motion

A set of exact spherically symmetric solutions for describing the interior of a relativistic star in the context of f($R$, T) modified theory of gravity is presented. The existence of a Conformal Killing Vectors (CKV) and Bardeen's model to find the boundary conditions as an exterior space-time geometry to achieve the metric potentials for current study is used. Moreover, matching conditions have been employed to obtain a set of free parameters for the physical analysis. Furthermore, some physically valid attributes like the behavior of energy density, pressure, equilibrium conditions, the adiabatic index, mass-radius relation, surface red-shifts, and compactness factor for the realistic stars such as PSR J1614-2230, PSR J1903+327, SMC X-1, Cen X-3, LMC X-4 and EXO 1785-248 are investigated. It is observed that for the current investigation, the derived compact star solutions are physically acceptable and authentic in the presence of charge with conformal motion. (© 2023 Wiley‐VCH GmbH)