We analyze a gedanken experiment in which a spinning particle that also possesses an extrinsic orbital angular momentum is captured by a spinning Kerr black hole. The gravitational spin-orbit interaction decreases the energy of the particle, thus allowing one to test the validity of the Penrose weak cosmic censorship conjecture in extreme situations that have not been analyzed thus far. It is explicitly shown that, to leading order in the black-hole-particle interactions, the linearized test particle can over-spin the black hole, thus exposing its inner spacetime singularity to external observers. However, we prove that the general relativistic effect of dragging of inertial frames by the orbiting particle contributes to the energy budget of the system a non-linear black-hole-particle interaction term that ultimately ensures the validity of the Penrose cosmic censorship conjecture in this type of gedanken experiments.

中文翻译：

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组成的黑洞粒子系统中的惯性系拖曳和弱宇宙检查猜想

我们分析了一个gedanken实验，其中一个旋转的Kerr黑洞捕获了一个还具有外在轨道角动量的旋转粒子。引力自旋轨道相互作用降低了粒子的能量，从而使人们能够在目前尚未分析的极端情况下测试彭罗斯微弱宇宙检查猜想的有效性。明确表明，按照黑洞-粒子相互作用的先导顺序，线性化的测试粒子可以过度旋转黑洞，从而将其内部时空奇异性暴露给外部观察者。然而，我们证明了由轨道粒子有助于惯性系拖曳到系统的能量预算的广义相对论效应非-线性黑洞-粒子相互作用项，该术语最终确保在这种类型的gedanken实验中，彭罗斯宇宙检查理论猜想的有效性。