Robust Singularity Theorem

TL;DR

This paper extends the Penrose-Wall singularity theorem to the semiclassical gravity regime, excluding certain non-singular bounces within black holes and cosmologies, by modifying quantum-trapped surface definitions.

Contribution

It provides a generalized singularity theorem applicable in semiclassical gravity, broadening the theorem's validity and excluding non-singular bounce scenarios.

Findings

The theorem applies in the full semiclassical gravity regime.

It excludes controlled bounces inside black holes.

It broadens the scope of singularity theorems in cosmology.

Abstract

We prove the Penrose-Wall singularity theorem in the full semiclassical gravity regime, significantly expanding its range of validity. To accomplish this, we modify the definition of quantum-trapped surfaces without affecting their genericity. Our theorem excludes controlled "bounces" in the interior of a black hole and in a large class of cosmologies.