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A note on the black hole thermodynamics

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Abstract

The study of various relations between different quantities is of great importance in thermodynamics. Hence in this paper, we will discuss a specific thermodynamic relation between entropy (S) and temperature (T) of some of the black holes. Therefore, we will choose Kerr, Kerr–Newman and charged BTZ black holes. Then we will calculate the relations between the thermodynamic quantities and explain the results in detail. Here, we study a special type of duality-like behaviour that occurs in the thermodynamics of black holes while preserving the laws of thermodynamics. The relationship between entropy and temperature is calculated as \(S_{\pm }T_{\pm }={\gamma }/{2}\) for the Kerr and Kerr–Newman black holes and \(S_{\pm }T_{\pm }={\gamma ^{2}}/{4}\) for the charged BTZ black holes.

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Authors and Affiliations

  1. Department of Physics, Faculty of Basic Sciences, University of Mazandaran, P.O. Box 47416-95447, Babolsar, Iran

    J Sadeghi, F Khosravani, S Noori Gashti & M R Alipour

  2. School of Physics, Damghan University, P.O. Box 3671641167, Damghan, Iran

    S Noori Gashti

Authors
  1. J Sadeghi
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  2. F Khosravani
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  3. S Noori Gashti
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  4. M R Alipour
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Correspondence to S Noori Gashti.

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Sadeghi, J., Khosravani, F., Noori Gashti, S. et al. A note on the black hole thermodynamics. Pramana - J Phys 97, 153 (2023). https://doi.org/10.1007/s12043-023-02639-5

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  • DOI: https://doi.org/10.1007/s12043-023-02639-5

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