论文标题

奇异性的回归:涂片的无效能量条件的应用

The Return of the Singularities: Applications of the Smeared Null Energy Condition

论文作者

Freivogel, Ben, Kontou, Eleni-Alexandra, Krommydas, Dimitrios

论文摘要

一般相对论的经典奇异定理依赖于在半经典重力中违反的能量条件。在这里,我们为通过半经典重力遵守的能量条件提供了动力:涂抹的无效能量条件(SNEC),这是一种沿零地理测量线的有限部分的无效部分的加权平均值。然后,我们使用SNEC作为假设证明了半经典的奇异定理。该定理将Penrose定理扩展到半经典重力。我们还将自己的束缚用于蒸发黑洞和Maldacena-Milekhin-Popov的可穿越的虫洞,并评论我们的结果与其他提出的半经典奇异定理的关系。

The classic singularity theorems of General Relativity rely on energy conditions that can be violated in semiclassical gravity. Here, we provide motivation for an energy condition obeyed by semiclassical gravity: the smeared null energy condition (SNEC), a proposed bound on the weighted average of the null energy along a finite portion of a null geodesic. We then prove a semiclassical singularity theorem using SNEC as an assumption. This theorem extends the Penrose theorem to semiclassical gravity. We also apply our bound to evaporating black holes and the traversable wormhole of Maldacena-Milekhin-Popov, and comment on the relationship of our results to other proposed semiclassical singularity theorems.

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