We investigate weak cosmic censorship conjecture in charged torus-like black hole by the complex scalar field scattering. Using the relation between the conserved quantities of a black hole and the scalar field, we can calculate the change of the energy and charge within the infinitesimal time. The change of the enthalpy is connected to the change of energy, then we use those results to test whether the first law, the second law as well as the weak cosmic censorship conjecture are valid. In the normal phase–space, the first law of thermodynamics and the weak cosmic censorship conjecture are valid, and the second law of thermodynamics is not violated. For the specific black hole under scalar field scattering we consider, in the extended phase–space, the first law of thermodynamics and the weak cosmic censorship conjecture are valid. However, the second law of thermodynamics is violated when the black hole’s initial charge reaches a certain value.

中文翻译：

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在带电标量场下测试环状黑洞中的弱宇宙审查猜想

我们通过复杂的标量场散射研究了带电环面黑洞中的弱宇宙审查猜想。利用黑洞守恒量与标量场之间的关系，我们可以计算出无穷小时间内能量和电荷的变化。焓的变化与能量的变化有关，然后我们用这些结果来检验第一定律、第二定律以及弱宇宙审查猜想是否成立。在正态相空间中，热力学第一定律和弱宇宙审查猜想是有效的，并且没有违反热力学第二定律。对于我们考虑的标量场散射下的特定黑洞，在扩展相空间中，热力学第一定律和弱宇宙审查猜想是有效的。然而，