Noncommutative geometry inspired 3-dimensional charged black hole solution in an anti-de Sitter background space-time

TL;DR

This paper presents a novel 3D charged black hole solution inspired by noncommutative geometry in anti-de Sitter space, analyzing its horizons, thermodynamics, and geodesics, revealing unique properties influenced by electromagnetic fields.

Contribution

It introduces a new noncommutative geometry-inspired charged black hole model in 3D anti-de Sitter space with detailed horizon and thermodynamic analysis.

Findings

Black hole exhibits two horizons, merging into one in the extremal case.

Electromagnetic field affects horizon location and thermodynamic properties.

Thermodynamic analysis includes Hawking temperature, entropy, and heat capacity.

Abstract

We report a 3D charged black hole solution in an anti desetter space inspired by noncommutative geometry.In this construction,the black hole exhibits two horizon which turn into a single horizon in the extreme case.We investigate the impacts of the electromagnetic field on the location of the event horizon,mass and thermodynamic properties such as Hawking temperature,entropy and heat capacity of the black hole.The geodesics of the charged black hole are also analyzed.