# Gaussian and Weibull noncommutative charged black holes

## TL;DR

This paper explores noncommutative regular charged black holes with Gaussian and Weibull charge distributions, revealing finite electric fields and temperatures, and establishing bounds for charge and mass for stability within a semi-classical framework.

## Contribution

It introduces new noncommutative black hole solutions with Gaussian and Weibull distributions, analyzing their physical properties and stability criteria.

## Key findings

- Electric field and temperature are finite everywhere.
- Charge is bounded from above for stability.
- Stable particles have bounded mass and charge.

## Abstract

We derive and investigate the physical properties of asymptotically flat noncommutative regular charged black holes with a Gaussian mass density distribution and a Weibull electric charge density distribution. Both distributions replace the Dirac one and introduce a set of substitution rules constituting new ways of counting. The solutions have a de Sitter behavior in the vicinity of the origin provided the electric charge density is Weibull of the form $r^{n/2}{\rm e}^{-r^2/(4\theta^2)}$ with $n\geq 1$. The electric field and temperature are finite for all values of the radial coordinate, mass, and charge. The charge is bounded from above for stability reasons and stable charged quantum particles have mass and charge bounded from below and from above within the simplified semi-classical model we present in this work.