Thermodynamics and Thermal Stability of BTZ-ModMax Black Holes

Document Type : Original Article

Author

Department of Theoretical Physics, Faculty of Science, University of Mazandaran, Babolsar, Iran

Abstract

Motivated by a new interesting nonlinear electrodynamics (NLED) model known as Modification Maxwell (ModMax) theory, we obtain an exact analytic BTZ black hole solution in the presence of a new NLED model and the cosmological constant. Afterward, by considering the obtained solution, we Hawking temperature, entropy, electric charge, mass, and electric potential. We extract the first law of thermodynamics for the BTZ-ModMax black hole. We study thermal stability by evaluating the heat capacity (local stability) and Helmholtz free energy (global stability). By comparing the local and global stabilities, we find the common areas that simultaneously satisfy the local and global stabilities

Keywords

References

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Contributions of Science and Technology for Engineering
Volume 1, Issue 3
September 2024
Pages 25-34

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History

  • Receive Date: 09 August 2024
  • Revise Date: 15 August 2024
  • Accept Date: 30 August 2024
  • First Publish Date: 01 September 2024
  • Publish Date: 01 September 2024

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