New perspective for black hole thermodynamics in Gauss–Bonnet–Born–Infeld massive gravity

The European Physical Journal C

Gu-Qiang Li¹  Jie-Xiong Mo¹  Behzad Eslam Panah²  Shahram Panahiyan³  Seyed Hossein Hendi⁴ 

[1] Institute of Theoretical Physics, Lingnan Normal University, 524048, Zhanjiang, Guangdong, China;Physics Department and Biruni Observatory, College of Sciences, Shiraz University, 71454, Shiraz, Iran;Physics Department and Biruni Observatory, College of Sciences, Shiraz University, 71454, Shiraz, Iran;Physics Department, Shahid Beheshti University, 19839, Tehran, Iran;Physics Department and Biruni Observatory, College of Sciences, Shiraz University, 71454, Shiraz, Iran;Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P. O. Box 55134-441, Maragha, Iran;

关键词: Black Hole;    Black Hole Solution;    Order Phase Transition;    Massive Gravity;    Einstein Gravity;   

DOI  :  10.1140/epjc/s10052-016-4410-4

来源: Springer

【 摘 要 】

Following an earlier study regarding Einstein–Gauss–Bonnet-massive black holes in the presence of a Born–Infeld nonlinear electromagnetic field (Hendi, arXiv:1510.00108, 2016), we study thermodynamical structure and critical behavior of these black holes through various methods in this paper. Geometrical thermodynamics is employed to give a picture regarding the phase transition of these black holes. Next, a new method is used to derive critical pressure and radius of the horizon of these black holes. In addition, Maxwell equal area law is employed to study the Van der Waals like behavior of these black holes. Moreover, the critical exponents are calculated and by using Ehrenfest equations, the type of phase transition is determined.

【 授权许可】

CC BY