On black hole singularities in quantum gravity

TL;DR

This paper demonstrates that in 1+1 dimensional dilaton gravity, the lack of space-like boundaries leads to a catastrophic endpoint of black hole evaporation, implying similar outcomes in quantum gravity theories with trivial topologies.

Contribution

It provides a topology-based proof that black hole evaporation ends catastrophically, independent of Planck-scale physics, suggesting a universal feature in quantum gravity.

Findings

Black hole evaporation ends catastrophically without space-like boundaries.

The proof is topology-based and independent of Planck-scale physics.

Implications for quantum gravity theories with trivial topologies.

Abstract

We show that absence of space-like boundaries in 1+1 dimensional dilaton gravity implies a catastrophic event at the end point of black hole evaporation. The proof is completely independent of the physics at Planck scales, which suggests that the same will occur in any theory of quantum gravity which only admits trivial space-time topologies.