Noncommutative geometry inspired rotating black string

TL;DR

This paper introduces a noncommutative geometry inspired rotating black string model that is regular, free of singularities, and exhibits modified thermodynamic properties, including stability, due to noncommutative corrections.

Contribution

It presents a novel regular rotating black string solution inspired by noncommutative geometry with detailed thermodynamic analysis and stability assessment.

Findings

The black string solution is curvature-singularity free.

Thermodynamic quantities are modified by noncommutative effects.

The black string remains thermodynamically stable.

Abstract

Noncommutativity is an idea dating back to the early times of Quantum Mechanics and that string theory induced noncommutative (NC) geometry which provides an effective framework to study short distance spacetime dynamics. Also, string theory, a candidate for a consistent quantum theory of gravity, admits a variety of classical black hole solutions including black strings. In this paper, we study a NC geometry inspired rotating black string to cylindrical spacetime with a source given by a Gaussian distribution of mass. The resulting metric is a regular, i.e. curvature-singularity free, rotating black string, that in large $r$ limit interpolates Lemos \cite{lemos96} black string. Thermodynamical properties of the black strings are also investigated and exact expressions for the temperature, the entropy and the heat capacity are obtained. Owing to the NC correction in the solution, the thermodynamic quantities have been also modified and that the NC geometry inspired black string is always thermodynamically stable.