For horizonless spherical stars with uniform charge density, the hoop conjecture was tested based on the interior solution. In this work, we are interested in more general horizonless spherical charged stars. We test hoop conjecture using the exterior solution since all types of interior solutions correspond to the same exterior Reissner-Nordsröm solution. Our analysis shows that the hoop conjecture is violated for very compact stars if we express the conjecture with the total ADM mass. And the hoop conjecture holds if we express the conjecture using the mass in the sphere.

中文翻译：

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无水平球面带电恒星箍圈猜想的研究

对于电荷密度均匀的无水平球状恒星，基于内部解对环猜进行了测试。在这项工作中，我们对更普通的无水平球面带电恒星感兴趣。我们使用外部解决方案测试箍圈猜想，因为所有类型的内部解决方案都对应于相同的外部Reissner-Nordsröm解决方案。我们的分析表明，如果我们用总ADM质量表示该猜想，则对于非常紧凑的恒星会违反环猜。如果我们使用球体中的质量表示猜想，则箍猜猜想成立。