Topological Insights into Black Hole Thermodynamics: Non-Extensive Entropy in CFT framework
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
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2025
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| _version_ | 1866910921321873408 |
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| author | Afshar, Mohammad Ali S. Alipour, Mohammad Reza Gashti, Saeed Noori Sadeghi, Jafar |
| author_facet | Afshar, Mohammad Ali S. Alipour, Mohammad Reza Gashti, Saeed Noori Sadeghi, Jafar |
| contents | In this paper, We conducted an in-depth investigation into the thermodynamic topology of Einstein-Gauss-Bonnet black holes within the framework of Conformal Field Theory (CFT), considering the implications of non-extensive entropy formulations. Our study reveals that the parameter $λ$ (Rényi entropy) plays a crucial role in the phase behavior of black holes. Specifically, when $λ$ is below the critical value (C), it has a negligible impact on the phase behavior. However, when $λ$ exceeds the critical value, it significantly alters the phase transition outcomes. Determining the most physically representative values of $λ$ will require experimental validation, but this parameter flexibility allows researchers to better explain black hole phase transitions under varying physical conditions. Furthermore, the parameters $α$ and $β$ affect the phase structure and topological charge for the Sharma-Mittal entropy. Only in the case of $C>C_c$ and in the condition of $α\approxβ$ will we have a first-order phase transition with topological charge + 1. Additionally, for the loop quantum gravity non-extensive entropy as the parameter $q$ approaches 1, the classification of topological charges changes. We observe configurations with one and three topological charges with respect to critical value $C$, resulting in a total topological charge $W = +1$, and configurations with two topological charges $(ω= +1, -1)$, leading to a total topological charge $W = 0$. These findings provide new insights into the complex phase behavior and topological characteristics of black holes in the context of CFT and non-extensive entropy formulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00955 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological Insights into Black Hole Thermodynamics: Non-Extensive Entropy in CFT framework Afshar, Mohammad Ali S. Alipour, Mohammad Reza Gashti, Saeed Noori Sadeghi, Jafar General Relativity and Quantum Cosmology High Energy Physics - Theory In this paper, We conducted an in-depth investigation into the thermodynamic topology of Einstein-Gauss-Bonnet black holes within the framework of Conformal Field Theory (CFT), considering the implications of non-extensive entropy formulations. Our study reveals that the parameter $λ$ (Rényi entropy) plays a crucial role in the phase behavior of black holes. Specifically, when $λ$ is below the critical value (C), it has a negligible impact on the phase behavior. However, when $λ$ exceeds the critical value, it significantly alters the phase transition outcomes. Determining the most physically representative values of $λ$ will require experimental validation, but this parameter flexibility allows researchers to better explain black hole phase transitions under varying physical conditions. Furthermore, the parameters $α$ and $β$ affect the phase structure and topological charge for the Sharma-Mittal entropy. Only in the case of $C>C_c$ and in the condition of $α\approxβ$ will we have a first-order phase transition with topological charge + 1. Additionally, for the loop quantum gravity non-extensive entropy as the parameter $q$ approaches 1, the classification of topological charges changes. We observe configurations with one and three topological charges with respect to critical value $C$, resulting in a total topological charge $W = +1$, and configurations with two topological charges $(ω= +1, -1)$, leading to a total topological charge $W = 0$. These findings provide new insights into the complex phase behavior and topological characteristics of black holes in the context of CFT and non-extensive entropy formulations. |
| title | Topological Insights into Black Hole Thermodynamics: Non-Extensive Entropy in CFT framework |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2501.00955 |