https://doi.org/10.1140/epjc/s10052-019-6972-4
Regular Article - Theoretical Physics
Thermal stability of a special class of black hole solutions in F(R) 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
Department of Elementary Particles, Faculty of Physics, University of Kashan, Kashan, Islamic Republic of Iran
* e-mail: hendi@shirazu.ac.ir
Received:
24
July
2018
Accepted:
22
May
2019
Published online:
4
June
2019
In this paper, we work on the topological Lifshitz-like black hole solutions of a special class of vacuum 
gravity that are static and spherically symmetric. We investigate geometric and thermodynamic properties of the solutions with due respect to the validity of the first law of thermodynamics. We examine the van der Waals like behavior for asymptotically AdS solutions with spherical horizon by studying the 
, 
and 
diagrams and find a consistent result. We also investigate the same behavior for hyperbolic horizon and interestingly find that the system under study can experience a phase transition with negative temperature.
© The Author(s), 2019
