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

by Ben Freivogel, Eleni-Alexandra Kontou, Dimitrios Krommydas

Submission summary

As Contributors: Eleni-Alexandra Kontou
Arxiv Link: (pdf)
Date submitted: 2021-11-16 15:17
Submitted by: Kontou, Eleni-Alexandra
Submitted to: SciPost Physics
Academic field: Physics
  • Gravitation, Cosmology and Astroparticle Physics
  • High-Energy Physics - Theory
  • Quantum Physics
Approach: Theoretical


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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