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Thermodynamic geometry of a black hole surrounded by perfect fluid in Rastall theory

  • Saheb SoroushfarEmail author
  • Reza Saffari
  • Sudhaker Upadhyay
Research Article
  • 52 Downloads

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.

Keywords

Thermodynamic geometry Black hole Temperature Heat capacity 

Notes

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Authors and Affiliations

  1. 1.Faculty of Technology and MiningYasouj UniversityChoramIran
  2. 2.Department of PhysicsUniversity of GuilanRashtIran
  3. 3.Department of PhysicsK.L.S. CollegeNawadaIndia
  4. 4.Inter-University Centre for Astronomy and Astrophysics (IUCAA)PuneIndia

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