In this paper, we have presented the Einstein–Maxwell equations which are described by the spherically symmetric spacetime in the presence of charge by exploiting the Tolman–Kuchowicz spacetime. The corresponding field equations are constructed and the form of charge distribution is chosen to be [Formula: see text], where [Formula: see text] is a constant quantity. We also find the values of unknown constants from junction conditions and discuss the behavior of effective energy density, effective radial and tangential pressure and anisotropic factor with two viable [Formula: see text] models. We examine the physical stability of charged stellar structure through energy conditions, causality and stability condition. We use modified form of TOV equation for anisotropic charged fluid sphere to analyze the equilibrium condition. In this work, we model the compact star candidate SAXJ 1808.4 – 3658 and study the compactness level and anisotropic behavior corresponding to the variation of physical parameters which are involved in [Formula: see text] models. Further, we evaluate some important properties such as mass-radius ratio compactness factor and surface redshift. It is depicted from this study that the obtained solutions provide strong evidences for more realistic and viable stellar model.

中文翻译：

---

Tolman-Kuchowicz 时空中的带电恒星结构

在本文中，我们利用 Tolman-Kuchowicz 时空提出了由存在电荷的球对称时空描述的爱因斯坦-麦克斯韦方程组。构造相应的场方程，选择电荷分布的形式为[公式：见正文]，其中[公式：见正文]为常数。我们还从结条件中找到未知常数的值，并使用两个可行的 [公式：见文本] 模型讨论有效能量密度、有效径向和切向压力以及各向异性因子的行为。我们通过能量条件、因果关系和稳定性条件来检验带电恒星结构的物理稳定性。我们使用各向异性带电流体球的TOV方程的修正形式来分析平衡条件。在这项工作中，我们对致密星候选 SAXJ 1808.4 – 3658 进行建模，并研究与 [公式：见文本] 模型中所涉及的物理参数变化相对应的致密性水平和各向异性行为。此外，我们评估了一些重要的性质，例如质量半径比紧度因子和表面红移。从这项研究中可以看出，所获得的解决方案为更现实和可行的恒星模型提供了有力的证据。