Lyapunov exponents and phase transitions of Born-Infeld AdS black holes

被引：8
作者：
Yang, Shaojie [1 ]
Tao, Jun [1 ]
Mu, Benrong [2 ]
He, Aoyun [1 ]
机构：
[1] Sichuan Univ, Coll Phys, Ctr Theoret Phys, Chengdu 610065, Peoples R China
[2] Chengdu Univ Tradit Chinese Med, Phys Teaching & Res Sect, Coll Med Technol, Chengdu, Peoples R China
来源：
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS | 2023年 / 07期
关键词：
Equations of motion; and 2-body problem in GR and beyond; Exact solutions; black holes and black hole thermodynamics in GR and beyond; SCHWARZSCHILD; MOTION; CHAOS;
D O I：
10.1088/1475-7516/2023/07/045
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
In this paper, we characterize the phase transitons of Born-Infeld AdS black holes in terms of Lyapunov exponents. We calculate the Lyapunov exponents for timelike geodesics in background metric and photon geodesics in effective metric. It is found that black hole phase transitions can be described by multiple-valued Lyapunov exponents. And its phase diagram can be characterized by Lyapunov exponents and Hawking temperature. Besides, the change of Lyapunov exponents can be considered as order parameter, and exists a critical exponent 1/2 near critical point.
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页数：21
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