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Note on the thermodynamic stability of a black ring at quantum scales

2020/08/31 by Robert B. Mann, Behnam Pourhassan, Prabir Rudra
Chemistry · Physics and Astronomy · #Angular momentum #Black Holes and Theoretical Physics #Black hole (networking) #Chemistry #Cosmology and Gravitation Theories #Entropy (arrow of time) #Hawking radiation #Heat capacity #Micro black hole #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #RADIUS #Ring (chemistry) #Thermal #Thermodynamics #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.103.066015

published as Phys. Rev. D 103, 066015 (2021) · 13 pages, 8 figures

arxiv created 2021/03/23 · openalex publication_date 2021/03/23 · arxiv updated 2021/03/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this paper, the thermodynamic properties of a thin black ring in AdS space-time is explored when the size of the ring is comparable to quantum scales. The angular momentum to mass ratio of this system has an upper limit, which is the cosmological radius of the black ring. It is found that the small black ring will be thermodynamically stable due to the effects introduced by thermal fluctuations. However, we find that the black ring is less stable than thermal AdS. Thermodynamic analysis indicates that there is no critical point, but there is Hawking-Page transition to radiation, which is confirmed by the Gibbs free energy analysis.

Citations