A comparison of remnants in noncommutative Bardeen black holes

TL;DR

This paper investigates noncommutative Bardeen black holes, deriving their mass and horizon properties, confirming stable remnants as information carriers, and comparing their characteristics with Schwarzschild and Hayward solutions.

Contribution

It introduces a detailed analysis of noncommutative Bardeen black holes, including mass, horizon size, and temperature, highlighting the relationship between magnetic charge and remnant properties.

Findings

Remnants are stable and can store information.

Remnants increase in size and mass with magnetic charge.

Noncommutative Bardeen black holes are colder and larger than Schwarzschild ones.

Abstract

We derive the mass term of the Bardeen metric in the presence of a noncommutative geometry induced minimal length. In this setup, the proposal of a stable black hole remnant as a candidate to store information is confirmed. We consider the possibility of having an extremal configuration with one degenerate event horizon and compare different sizes of black hole remnants. As a result, once the magnetic charge $g$ of the noncommutative Bardeen solution becomes larger, both the minimal nonzero mass $M_0$ and the minimal nonzero horizon radius $r_0$ get larger. This means, subsequently, under the condition of an adequate amount of $g$, the three parameters $g$, $M_0$, and $r_0$ are in a connection with each other linearly. According to our results, a noncommutative Bardeen black hole is colder than the noncommutative Schwarzschild black hole and its remnant is bigger, so the minimum required energy for the formation of such a black hole at particle colliders will be larger. We also find a closely similar result for the Hayward solution.