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Black hole thermodynamics in Sharma–Mittal generalized entropy formalism

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Abstract

Using the Sharma–Mittal entropy, we study some properties of the Schwarzschild and Schwarzschild-de Sitter black holes. The results are compared with those obtained by attributing the Bekenstein entropy bound to the mentioned black holes. Our main results show that while the Schwarzschild black hole is always stable in the micro-canonical ensemble, it can be stable in the canonical ensemble if its mass is bigger than the mass of the coldest Schwarzschild black hole. A semi-classical analysis has also been used to find an approximate relation between the entropy free parameters. Throughout the paper, we use units \(c=G=\hbar =k_B=1\), where \(k_B\) denotes the Boltzmann constant.

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Acknowledgements

The work of S. Ghaffari has been supported financially by Research Institute for Astronomy and Astrophysics of Maragha (RIAAM).

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Authors and Affiliations

  1. Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P. O. Box 55134-441, Maragha, Iran

    S. Ghaffari, A. H. Ziaie, H. Moradpour, F. Asghariyan & M. Tavayef

  2. Department of Physics, University of Trieste, Via Valerio 2, 34127, Trieste, Italy

    F. Feleppa

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  1. S. Ghaffari
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  2. A. H. Ziaie
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  3. H. Moradpour
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  4. F. Asghariyan
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  5. F. Feleppa
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  6. M. Tavayef
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Correspondence to S. Ghaffari.

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Ghaffari, S., Ziaie, A.H., Moradpour, H. et al. Black hole thermodynamics in Sharma–Mittal generalized entropy formalism. Gen Relativ Gravit 51, 93 (2019). https://doi.org/10.1007/s10714-019-2578-2

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