Quantum implementation of the cosmic censorship conjecture for toroidal black holes

TL;DR

This paper investigates how quantum effects in a scalar field theory on toroidal black hole backgrounds can lead to the formation of an event horizon, supporting the cosmic censorship conjecture in a quantum context.

Contribution

It demonstrates that quantum fluctuations can generate horizons around singularities in toroidal black holes, providing insights into quantum cosmic censorship.

Findings

Quantum fluctuations induce event horizons hiding singularities.

The resulting objects are long-lived remnants.

Supports the quantum version of the cosmic censorship conjecture.

Abstract

We consider some aspects of quantum field theory of a conformally coupled scalar field on the singular background obtained in the massless limit of a class of toroidal black holes. The stress-tensor and its back-reaction on the metric are computed using the point-splitting regularization, in the cases of transparent, Neumann and Dirichlet boundary conditions. We find that the quantum fluctuations generate an event horizon which hides the singularity. The resulting object can be interpreted as a long lived remnant. We discuss the relevance of this result in the context of the cosmic censorship conjecture, and in connection to the end-point of the quantum evaporation process.