2016/05/03 by Saheb Soroushfar, Reza Saffari, Negin Kamvar
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Entropy (arrow of time) #Geometry #Gravitation #Mathematics #Noncommutative and Quantum Gravity Theories #Phase transition #Physics #Quantum mechanics #Scalar curvature #Spacetime #Thermodynamics #gr-qc
paper · pdf · doi:10.1140/epjc/s10052-016-4311-6
published as Eur. Phys. J. C (2016) 76:476 · 45 figures,35 pages
arxiv created 2016/05/03 · openalex publication_date 2016/08/27 · arxiv updated 2016/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, we consider three types (static, static charged, and rotating charged) of black holes in f ( R ) gravity. We study the thermodynamical behavior, stability conditions, and phase transition of these black holes. It is shown that the number and type of phase transition points are related to different parameters, which shows the dependency of the stability conditions to these parameters. Also, we extend our study to different thermodynamic geometry methods (Ruppeiner, Weinhold, and GTD). Next, we investigate the compatibility of curvature scalar of geothermodynamic methods with phase transition points of the above black holes. In addition, we point out the effect of different values of the spacetime parameters on the stability conditions of mentioned black holes.