A singularity theorem for evaporating black holes
General Relativity and Quantum Cosmology
2021-10-25 v1 High Energy Physics - Theory
Abstract
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 gravity and has interesting applications to evaporating black holes.
Cite
@article{arxiv.2110.11922,
title = {A singularity theorem for evaporating black holes},
author = {Eleni-Alexandra Kontou and Ben Freivogel and Dimitrios Krommydas},
journal= {arXiv preprint arXiv:2110.11922},
year = {2021}
}
Comments
Contribution to the Proceedings of the 16th Marcel Grossmann Meeting (MG16), 9 pages, 2 figures. arXiv admin note: text overlap with arXiv:2012.11569