Thermodynamics of AdS black holes from deflection angle formalism

被引：22

作者：

Belhaj, A. ^{[1
]}

Belmahi, H. ^{[1
]}

Benali, M. ^{[1
]}

Segui, A. ^{[2
]}

机构：

[1] Univ Mohammed V Rabat, Fac Sci, Equipe Sci Matiere & Rayonnement, Dept Phys, Rabat, Morocco

[2] Univ Zaragoza, Dept Fis Teor, E-50009 Zaragoza, Spain

来源：

PHYSICS LETTERS B | 2021年 / 817卷

关键词：

AdS black holes; Thermodynamics; Deflection angle of lights; GEOMETRY;

D O I：

10.1016/j.physletb.2021.136313

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We explore a link between AdS black hole thermodynamics and the deflection angle variation. Using the elliptic function analysis, we first study the phase structure of RN-AdS solutions in terms of optical aspects. Precisely, we find that the stable and the unstable phases can be derived from thermal variations of the deflection angle. Then, we investigate the Hawking-Page transition from the Gibbs energy optical dependence. Among others, we reveal that the large black hole/small black hole transition occurs at a specific value of the deflection angle. The finding results, being confirmed by the help of the Ruppeiner metric of the phase state space, indicate that the deflection angle can be exploited to unveil data on thermodynamics of AdS black holes. (C) 2021 The Author(s). Published by Elsevier B.V.

引用

页数：7

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