Gravitational Effects of Quantum Fields in the Interior of a Cylindrical Black Hole

TL;DR

This paper investigates how quantum scalar fields influence the interior geometry of a cylindrical black hole with a cosmological constant, revealing that quantum effects tend to strengthen singularities, suggesting a universal behavior across different spacetime geometries.

Contribution

It provides the first calculation of gravitational back-reaction of quantum fields inside a cylindrical black hole with a cosmological constant, highlighting the universal nature of quantum effects on singularity behavior.

Findings

Quantum perturbations initially strengthen the singularity.

The effect is similar to spherical symmetry cases.

Quantum effects may be universal, independent of spacetime geometry.

Abstract

The gravitational back-reaction is calculated for the conformally invariant scalar field within a black cosmic string interior with cosmological constant. Using the perturbed metric, the gravitational effects of the quantum field are calculated. It is found that the perturbations initially strengthen the singularity. This effect is similar to the case of spherical symmetry (without cosmological constant). This indicates that the behaviour of quantum effects may be universal and not dependent on the geometry of the spacetime nor the presence of a non-zero cosmological constant.