The global hyperbolicity assumption present in gravitational collapse singularity theorems is in tension with the quantum mechanical phenomenon of black hole evaporation. In this work I show that the causality conditions in Penrose's theorem can be almost completely removed. As a result, it is possible to infer the formation of spacetime singularities even in the absence of predictability and hence compatibly with quantum field theory and black hole evaporation.

中文翻译：

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与黑洞蒸发一致的引力坍缩奇点定理

引力坍缩奇点定理中的全局双曲线假设与黑洞蒸发的量子力学现象存在张力。在这项工作中，我展示了彭罗斯定理中的因果关系条件几乎可以完全去除。因此，即使在缺乏可预测性的情况下，也可以推断出时空奇点的形成，因此与量子场论和黑洞蒸发兼容。