Abstract In the present article we construct physically viable models of anisotropic charged compact stellar objects admitting quadratic equation of state and linear equation of state. We analyze the physical behavior of compact star models 4U1538-52, LMCX-4, and Vela X-1 with in the frame work of general relativity. Our stellar models are free from singularities, satisfy all energy conditions and exhibit physically admissible characters. The necessary stability criteria viz. Buchdhal condition, adiabatic index and causality condition all stand true for our charged anisotropic compact stellar models. We also inspect the physical characteristics of compact stars via Linear equation of state by applying slight changes in the parameters of the models pertaining to Quadratic equation of state and analyze the models in the perspective of both equations of state. We study the physical attributes of the model 4U1538-52 extensively by implementing analytical and graphical tools. The models retain their validity for both linear as well as quadratic equations of state, however there is a slight variation in few attributes of the models.

中文翻译：

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二次和线性状态方程控制的稠密恒星模型的比较分析

摘要 在本文中，我们构建了具有二次状态方程和线性状态方程的各向异性带电致密星体的物理可行模型。我们在广义相对论的框架内分析了致密星模型 4U1538-52、LMCX-4 和 Vela X-1 的物理行为。我们的恒星模型没有奇点，满足所有能量条件并表现出物理上可接受的特性。必要的稳定性标准即。Buchdhal 条件、绝热指数和因果关系条件都适用于我们的带电各向异性致密恒星模型。我们还通过线性状态方程检查致密星的物理特性，通过对与二次状态方程相关的模型参数进行轻微变化，并从两个状态方程的角度分析模型。我们通过实施分析和图形工具广泛研究了模型 4U1538-52 的物理属性。这些模型对线性和二次状态方程均保持其有效性，但是模型的少数属性略有变化。