Three Dimensional Charged Black Hole Inspired by Noncommutative Geometry

TL;DR

This paper introduces a new three-dimensional charged black hole model inspired by noncommutative geometry, analyzing its thermodynamics and comparing it with existing solutions.

Contribution

It presents a novel charged black hole solution in 3D AdS space using noncommutative geometry and anisotropic fluid, extending black hole models.

Findings

Derived thermodynamical properties of the new black hole.

Compared the new solution with the charged BTZ black hole.

Identified unique features due to noncommutative effects.

Abstract

We find a new charged black hole in three-dimensional anti-de Sitter space using an anisotropic perfect fluid inspired by the noncommutative black hole as the source of matter and a gaussian distribution of electric charge. We deduce the thermodynamical quantities of this black hole and compare them with those of a charged BTZ solution.