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.

中文翻译：

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允许共形运动的带电各向异性 Bardeen 球

摘要 对称性对于通过爱因斯坦场方程发展几何与物质之间的自然关系起着至关重要的作用。本文的主要目的是使用保形杀戮对称性提出一个新的带电致密星解决方案系列。当前研究的突出特点是考虑将 Bardeen 模型描述为外部时空（Bardeen，1968）。这使得分析变得有趣，因为 Bardeen 解可以解释为由非线性电动力学的某些特定情况引起的重力坍缩磁单极子。匹配条件已被用于获得一组用于研究定性分析的自由参数。相对论球体的所有物理上必要的相关参数和属性都以图形方式呈现。我们详细研究了，能量密度和压力分布、电荷密度和电场属性、各向异性函数、能量条件、红移函数、致密性参数和绝热指数稳定性分析。值得一提的是，对于目前的研究，获得的解在物理上是可以接受的，并且具有最佳的准确度。