Thermodynamic geometry of a charged AdS black hole ‎with corrected entropy

Document Type : Full length research Paper

Authors

1 Department of Physics, Faculty of Technology and Mining, Yasouj University, Choram 75761-59836, Iran

2 School of Physics, Damghan University, Damghan, 3671641167, Iran

Abstract

In this paper, a charged AdS black hole is considered and exponential corrections on entropy ‎are studied for it. Next, thermodynamic quantities of this black hole, including mass, ‎temperature, heat capacity, as well as pressure and Gibbs free energy, are investigated. Then, ‎the thermodynamic geometry of this black hole is investigated using the geometric methods of ‎Weinhold, Ruppeiner, Quevedo, HPEM and NTG. In addition, the correspondence between ‎singularities of the scalar curvature of these metrics and the black hole phase transition points ‎is investigated. It has been observed that Quevedo (II), HPEM and NTG formalisms provide ‎more information about the phase transition of this black hole compared with Weinhold, ‎Ruppeiner and Quevedo (I) formalisms.‎

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References

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History

  • Receive Date: 02 November 2020
  • Revise Date: 03 July 2021
  • Accept Date: 29 August 2021

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