While the configuration of a static spherically symmetric distribution of perfect fluid in an electric field has received extensive attention in the literature, only a few works have investigated the conformally flat case. The model exhibits a remarkable property being regular or singularity free is proposed. This is unexpected given that Coulombic repulsion opposes the collapse of a star to the center generally making the center unreachable. The conformally flat geometry thus enables the approach to the center of a charged star as shown in our model. Presently there is no known reported exact model that satisfies all the elementary requirements for physical acceptability. Some reported models that have claimed to be physically reliable have been shown to be deficient. The conditions for the existence of physically relevant models and show that exact solutions satisfying the conditions exist is investigated. Then a model satisfying all the requirements with isotropic particle pressure graphically for a carefully chosen parameter space is exhibited. The model admits a barotropic equation of state. The interior spacetime is successfully matched to the exterior Reissner-Nordstrom metric. The causality criterion as well as the adiabatic stability lower bound of Chandrasekar are shown to hold. The energy conditions are also valid within the stellar radius. Other interesting models are considered.

中文翻译：

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带电恒星可以无奇点吗？

虽然电场中完美流体的静态球对称分布的配置在文献中受到了广泛的关注，但只有少数作品研究了共形平坦的情况。该模型表现出一个显着的特性，即无规则或无奇点。这是出乎意料的，因为库仑斥力阻止恒星向中心塌缩，通常使中心无法到达。因此，共形平坦的几何形状使得能够接近带电恒星的中心，如我们的模型所示。目前，还没有已知的精确模型能够满足物理可接受性的所有基本要求。一些声称在物理上可靠的报告模型已被证明是有缺陷的。研究了物理相关模型的存在条件并表明存在满足条件的精确解。然后，针对精心选择的参数空间，以图形方式展示满足各向同性粒子压力的所有要求的模型。该模型承认正压状态方程。内部时空与外部 Reissner-Nordstrom 度量成功匹配。因果关系准则以及 Chandrasekar 的绝热稳定性下界被证明成立。能量条件在恒星半径内也有效。考虑其他有趣的模型。