Black String Thermodynamics in Noncommutative Spacetime: Anomaly and Phase Transition

TL;DR

This paper explores the thermodynamics of black strings in noncommutative spacetime, revealing anomalies and phase transitions that deepen understanding of quantum gravity effects on black hole physics.

Contribution

It introduces a Hamilton-Jacobi approach to analyze black string thermodynamics in noncommutative spacetime, highlighting the impact of back reaction and anomalies.

Findings

Identification of phase transitions in black string thermodynamics

Detection of anomalies due to noncommutative effects

Insights into quantum gravity implications for black hole physics

Abstract

Black holes have been a subject of investigation over years not only because they have interesting physical properties, but also because they seem to be the appropriate tool for studying gravity in quantum scale. Although a lot of effort has been made to understand the aspects of spacetime on the quantum scale, the approach which includes noncommutativity of spacetime proves to be promising among several possibilities. In this paper, we use the Hamilton-Jacobi method to study the thermodynamic properties of cylindrical black holes (black strings) in noncommutative spacetime. It is also investigated the behavior of the black string in the presence of back reaction as well as its influence on the system can be understood as an anomaly. This work aims to provide understanding about black strings thermodynamics in noncommutative spacetime since this scale of spacetime is important for the comprehension of the relation between quantum mechanics and general relativity.