Effect of Self-Interaction on Charged Black Hole Radiance

TL;DR

This paper investigates how self-interaction affects the radiation spectrum of charged black holes, revealing that near extremality, self-gravitational effects significantly alter expected emissions and suppress potential naked singularity formation.

Contribution

It extends previous analyses to charged black holes, demonstrating the impact of self-gravitational interactions on their radiance spectrum, especially near extremality.

Findings

Corrections are small for low-energy radiation away from extremality.

Near extremality, self-interaction effects become qualitatively significant.

Radiation leading to naked singularities is suppressed by self-gravitational effects.

Abstract

We extend our previous analysis of the modification of the spectrum of black hole radiance due to the simplest and probably most quantitatively important back-reaction effect, that is self-gravitational interaction, to the case of charged holes. As anticipated, the corrections are small for low-energy radiation when the hole is well away from extremality, butbecome qualitatively important near extremality. A notable result is that radiation which could leave the hole with mass and charge characteristic of a naked singularity, predicted in the usual approximation of fixed space-time geometry, is here suppressed. We discuss the nature of our approximations, and show how they work in a simpler electromagnetic analogue problem.