Thermodynamics of four-dimensional Brans-Dicke black holes in the presence of power Maxwell electrodynamics

Document Type : Full length research Paper

Author

Department of Physics, Faculty of Science, Razi University, Kermanshah, Iran

Abstract

In this study, the exact black hole (BH) solutions of Brans-Dicke (BD) theory were obtained under the influence of power-Maxwell nonlinear electrodynamics. Since the Jordan frame field equations are highly nonlinear, they cannot be solved directly. Using the conformal transformations, we translated them to the Einstein frame, where the field equations are decupled, and the theory is the well-known Einstein-dilaton (Ed) gravity. Through solving the equations, three novel classes of Ed-power-Maxwell BHs were introduced. After calculating the thermodynamic quantities, using the appropriate approaches, we showed that the first law of BH thermodynamics is valid in the Einstein frame. Also, thermal stability of the BHs was analyzed using the canonical ensemble method. The exact BH solutions of BD-power-Maxwell theory were obtained from their Einstein correspondence by applying the inverse conformal transformations. We showed that thermodynamic quantities remain invariant under conformal transformations. As the result, thermodynamical first law is valid for the Jordan frame BHs and, their thermal stability properties are just like those of Einstein frame.

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References

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Journal of Research on Many-body Systems
Volume 14, Issue 3 - Serial Number 42
autumn 2024
November 2024
Pages 1-13

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History

  • Receive Date: 07 June 2024
  • Revise Date: 18 October 2024
  • Accept Date: 25 November 2024

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