https://doi.org/10.1140/epjc/s10052-016-4410-4
Regular Article - Theoretical Physics
New perspective for black hole thermodynamics in Gauss–Bonnet–Born–Infeld massive gravity
1
Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz, 71454, Iran
2
Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P. O. Box 55134-441, Maragha, Iran
3
Institute of Theoretical Physics, Lingnan Normal University, Zhanjiang, 524048, Guangdong, China
4
Physics Department, Shahid Beheshti University, Tehran, 19839, Iran
* e-mail: hendi@shirazu.ac.ir
Received:
17
July
2016
Accepted:
30
September
2016
Published online:
22
October
2016
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.
© The Author(s), 2016
