# Thermodynamic instability of 3D Einstein-Born-Infeld AdS black holes

• Super-entropic black holes possess finite-area but noncompact event horizons and violate the reverse isoperimetric inequality. It has been conjectured that such black holes always have negative specific heat at constant volume $C_{V}$ or negative specific heat at constant pressure $C_{P}$ whenever $C_{V}>0$, making them unstable in extended thermodynamics. In this paper, we describe a test of this instability conjecture with a family of nonlinear electrodynamic black holes, namely 3D Einstein-Born-Infeld (EBI) AdS black holes. Our results show that when nonlinear electrodynamics effects are weak, the instability conjecture is valid. However, the conjecture can be violated in some parameter region when nonlinear electrodynamics effects are strong enough. This observation thus provides a counter example to the instability conjecture, which suggests that super-entropic black holes may be thermodynamically stable.

Figures(2)

Get Citation
Hongmei Jing, Benrong Mu, Jun Tao and Peng Wang. Thermodynamic Instability of 3D Einstein-Born-Infeld AdS Black Holes[J]. Chinese Physics C. doi: 10.1088/1674-1137/abf1dc
Hongmei Jing, Benrong Mu, Jun Tao and Peng Wang. Thermodynamic Instability of 3D Einstein-Born-Infeld AdS Black Holes[J]. Chinese Physics C.
Milestone
Article Metric

Article Views(184)
Cited by(0)
Policy on re-use
To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.
###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142

Title:
Email:

## Thermodynamic instability of 3D Einstein-Born-Infeld AdS black holes

###### Corresponding author: Jun Tao, taojun@scu.edu.cn (Corresponding author)
• 1. Center for Theoretical Physics, College of Physics, Sichuan University, Chengdu 610065, China
• 2. Physics Teaching and Research Section, College of Medical Technology, Chengdu University of Traditional Chinese Medicine, Chengdu 611137, China

Abstract: Super-entropic black holes possess finite-area but noncompact event horizons and violate the reverse isoperimetric inequality. It has been conjectured that such black holes always have negative specific heat at constant volume $C_{V}$ or negative specific heat at constant pressure $C_{P}$ whenever $C_{V}>0$, making them unstable in extended thermodynamics. In this paper, we describe a test of this instability conjecture with a family of nonlinear electrodynamic black holes, namely 3D Einstein-Born-Infeld (EBI) AdS black holes. Our results show that when nonlinear electrodynamics effects are weak, the instability conjecture is valid. However, the conjecture can be violated in some parameter region when nonlinear electrodynamics effects are strong enough. This observation thus provides a counter example to the instability conjecture, which suggests that super-entropic black holes may be thermodynamically stable.

Reference (62)

/