The Thermodynamics of the Van Der Waals Black Hole Within Kaniadakis Entropy
In this work, we have studied the thermodynamic properties of the Van der Waals black hole in the framework of the relativistic Kaniadakis entropy. We have shown that the black hole properties, such as the mass and temperature, differ from those obtained by using the the Boltzmann–Gibbs approach. Mo...
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2024-11-01
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| author | Adam Z. Kaczmarek Yassine Sekhmani Dominik Szczȩśniak Javlon Rayimbaev |
| author_facet | Adam Z. Kaczmarek Yassine Sekhmani Dominik Szczȩśniak Javlon Rayimbaev |
| author_sort | Adam Z. Kaczmarek |
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| description | In this work, we have studied the thermodynamic properties of the Van der Waals black hole in the framework of the relativistic Kaniadakis entropy. We have shown that the black hole properties, such as the mass and temperature, differ from those obtained by using the the Boltzmann–Gibbs approach. Moreover, the deformation <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>κ</mi></semantics></math></inline-formula>-parameter changes the behavior of the Gibbs free energy via introduced thermodynamic instabilities, whereas the emission rate is influenced by <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>κ</mi></semantics></math></inline-formula> only at low frequencies. Nonetheless, the pressure–volume (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>P</mi><mo>(</mo><mi>V</mi><mo>)</mo></mrow></semantics></math></inline-formula>) characteristics are found independent of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>κ</mi></semantics></math></inline-formula> and the entropy form, unlike in other anti-de Sitter (AdS) black hole models. In summary, the presented findings partially support the previous arguments of Gohar and Salzano that, under certain circumstances, all entropic models are equivalent and indistinguishable. |
| format | Article |
| id | doaj-art-058b240482fb4d4ca15aa0793e41db0d |
| institution | DOAJ |
| issn | 1099-4300 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj-art-058b240482fb4d4ca15aa0793e41db0d2025-08-20T02:55:41ZengMDPI AGEntropy1099-43002024-11-012612102710.3390/e26121027The Thermodynamics of the Van Der Waals Black Hole Within Kaniadakis EntropyAdam Z. Kaczmarek0Yassine Sekhmani1Dominik Szczȩśniak2Javlon Rayimbaev3Institute of Physics, Faculty of Science and Technology, Jan Długosz University in Czestochowa, 13/15 Armii Krajowej Ave., 42200 Czestochowa, PolandCenter for Theoretical Physics, Khazar University, 41 Mehseti Street, Baku AZ1096, AzerbaijanInstitute of Physics, Faculty of Science and Technology, Jan Długosz University in Czestochowa, 13/15 Armii Krajowej Ave., 42200 Czestochowa, PolandInstitute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, Tashkent 100000, UzbekistanIn this work, we have studied the thermodynamic properties of the Van der Waals black hole in the framework of the relativistic Kaniadakis entropy. We have shown that the black hole properties, such as the mass and temperature, differ from those obtained by using the the Boltzmann–Gibbs approach. Moreover, the deformation <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>κ</mi></semantics></math></inline-formula>-parameter changes the behavior of the Gibbs free energy via introduced thermodynamic instabilities, whereas the emission rate is influenced by <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>κ</mi></semantics></math></inline-formula> only at low frequencies. Nonetheless, the pressure–volume (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>P</mi><mo>(</mo><mi>V</mi><mo>)</mo></mrow></semantics></math></inline-formula>) characteristics are found independent of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>κ</mi></semantics></math></inline-formula> and the entropy form, unlike in other anti-de Sitter (AdS) black hole models. In summary, the presented findings partially support the previous arguments of Gohar and Salzano that, under certain circumstances, all entropic models are equivalent and indistinguishable.https://www.mdpi.com/1099-4300/26/12/1027entropyKaniadakis entropynon extensive entropyblack holesthermodynamicsinformation paradox |
| spellingShingle | Adam Z. Kaczmarek Yassine Sekhmani Dominik Szczȩśniak Javlon Rayimbaev The Thermodynamics of the Van Der Waals Black Hole Within Kaniadakis Entropy Entropy entropy Kaniadakis entropy non extensive entropy black holes thermodynamics information paradox |
| title | The Thermodynamics of the Van Der Waals Black Hole Within Kaniadakis Entropy |
| title_full | The Thermodynamics of the Van Der Waals Black Hole Within Kaniadakis Entropy |
| title_fullStr | The Thermodynamics of the Van Der Waals Black Hole Within Kaniadakis Entropy |
| title_full_unstemmed | The Thermodynamics of the Van Der Waals Black Hole Within Kaniadakis Entropy |
| title_short | The Thermodynamics of the Van Der Waals Black Hole Within Kaniadakis Entropy |
| title_sort | thermodynamics of the van der waals black hole within kaniadakis entropy |
| topic | entropy Kaniadakis entropy non extensive entropy black holes thermodynamics information paradox |
| url | https://www.mdpi.com/1099-4300/26/12/1027 |
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