In this paper, we present two different non-singular interior models describing anisotropic spherical configuration in the presence of an electromagnetic field. The Einstein–Maxwell field equations and the mass function are formulated corresponding to the static interior. We then discuss some conditions whose fulfillment leads to physically realistic compact models. The field equations are solved by adopting two different constraints that make the system solvable. We take a particular form of anisotropy and a linear equation of state, leading to models I and II, respectively. There appear differential equations in both cases whose solutions contain the integration constants. We calculate these constants by setting the metric functions of an interior and the Reissner–Nordström exterior metrics equal at the spherical boundary. The vanishing of the radial pressure at the hypersurface is also utilized in finding the constants. We use the estimated mass and radius of a compact star LMC X-4 to evaluate the new solutions graphically for multiple values of the charge. We conclude that both the resulting models are in good agreement with all physical requirements for calculated values of constants.

在本文中，我们提出了两种不同的非奇异内部模型，描述电磁场存在下的各向异性球形配置。爱因斯坦-麦克斯韦场方程和质量函数是根据静态内部制定的。然后我们讨论一些条件，满足这些条件会产生物理上逼真的紧凑模型。场方程通过采用两个不同的约束来求解，使系统可解。我们采用特殊形式的各向异性和线性状态方程，分别得出模型 I 和 II。在这两种情况下都会出现微分方程，其解包含积分常数。我们通过将内部度量函数和 Reissner-Nordström 外部度量在球面边界设置为相等来计算这些常数。超曲面处径向压力的消失也可用于求常数。我们使用致密星 LMC X-4 的估计质量和半径，以图形方式评估多个电荷值的新解决方案。我们得出的结论是，所得模型与常数计算值的所有物理要求都非常一致。