# A singularity theorem for evaporating black holes

@inproceedings{Kontou2021AST, title={A singularity theorem for evaporating black holes}, author={Eleni-Alexandra Kontou and Ben Freivogel and Dimitrios Krommydas}, year={2021} }

The classical singularity theorems of General Relativity rely on energy conditions that are easily violated by quantum fields. Here, we provide motivation for an energy condition obeyed in 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. Using SNEC as an assumption we proceed to prove a singularity theorem. This theorem extends the Penrose singularity theorem to semiclassical…

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