Saheb Soroushfar

TL;DR: In this paper, the authors study the thermodynamics and thermodynamic geometry of a black hole surrounded by the perfect fluid in Rastall theory and calculate the physical quantity like mass, temperature and heat capacity of the system for two different cases.

TL;DR: In this article, the authors considered three types of black holes in f(R) gravity and studied the thermodynamic behavior, stability conditions, and phase transition of these black holes.

Abstract: In this paper, we study thermodynamics and thermodynamic geometry of a black hole surrounded by the perfect fluid in Rastall theory. In particular, we calculate the physical quantity like mass, temperature and heat capacity of the system for two different cases. From the resulting heat capacity, we emphasize stability of the system. Following Weinhold, Ruppiner, Quevedo and HPEM formalism, thermodynamic geometry of this black hole in Rastall gravity is also analyzed. We find that the singular points of the curvature scalar of Ruppeiner and HPEM metrics entirely coincides with zero points of the heat capacity. But there is another divergence of HPEM metric which coincides with the singular points of heat capacity, so we can extract more information of HPEM metric compared with Ruppeiner metric. However, we are unable to find any physical data about the system from the Weinhold and Quevedo formalism.

TL;DR: In this article, the shadow of a charged stationary axially symmetric space-time (Kerr-Sen dilaton-axion) black hole is analyzed in the presence of plasma with radial power-low density.