Abstract
Symmetries can play a vital role to develop the natural relation between geometry and matter through the Einstein field equations. The main purpose of this paper is to propose a new family of charged compact stars solutions using conformal Killing symmetries. The prominent feature of current study is to consider Bardeen model to describe as an exterior spacetime (Bardeen, 1968). This makes the analysis interesting as Bardeen solution can be interpreted as a gravitationally collapsed magnetic monopole arising from some specific case of non-linear electrodynamics. Matching conditions have been used to obtain a set of free parameters for the qualitative analysis of the study. All the physically necessary relevant parameters and properties of relativistic spheres are presented graphically. We have studied, in detail, the energy density and pressure profiles, charge density and electric field attributes, anisotropy function, energy conditions, red-shift function, compactness parameter and adiabatic index stability analysis. It is worth mentioning that for the current study, the obtained solutions are physically acceptable with best degree of accuracy.
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