BTZ black holes inspired by noncommutative geometry

TL;DR

This paper constructs a BTZ black hole solution within noncommutative geometry, exploring its horizons, thermodynamics, and geodesic structure, revealing novel properties like minimal mass and bound particle orbits.

Contribution

It introduces a new BTZ black hole model derived from noncommutative geometry, analyzing its horizons, thermodynamics, and particle orbits, which were not previously studied in this context.

Findings

BTZ black hole can have zero, one, or two horizons depending on mass.

Thermodynamical analysis shows specific temperature, entropy, and heat capacity behaviors.

Bound orbits for particles are possible around the black hole.

Abstract

In this paper a Banados, Teitelboim and Zanelli (BTZ) black hole is constructed from an exact solution of the Einstein field equations in a (2+1)-dimensional anti-de Sitter spacetime in the context of noncommutative geometry. The BTZ black hole turns out to have two horizons, no horizon or a single horizon corresponding to a minimal mass. Certain thermodynamical properties are investigated, including Hawking temperature, entropy and heat capacity. Also discussed is the geodesic structure of BTZ black holes for both massless and massive particles. In particular, it is shown that bound orbits for test particles are possible.