Report on scipost_202105_00023v1

Abstract

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. Conclusion 21A Two-dimensional curved spacetime null QEI for interacting CFTs 23References 24

Authors 3

1. Ben Freivogel

   University of Amsterdam · Institute for Theoretical Physics Amsterdam

   Affiliation as printed

   ITFA and GRAPPA, Universiteit van Amsterdam, Science Park 904, Amsterdam, The Netherlands

2. Eleni-Alexandra Kontou corresponding

   University of Amsterdam · Institute for Theoretical Physics Amsterdam · College of the Holy Cross

   Affiliation as printed

   Department of Physics, College of the Holy Cross, Worcester, Massachusetts 01610, USA

   ITFA and GRAPPA, Universiteit van Amsterdam, Science Park 904, Amsterdam, The Netherlands

3. Dimitrios Krommydas Aachen Instituut-Lorentz

   Leiden University

   Affiliation as printed

   Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506, 2300 RA Leiden, The Netherlands