Thermodynamic Topology and Phase Space Analysis of AdS Black Holes Through Non-Extensive Entropy Perspectives
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arXiv
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2024
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| author | Gashti, Saeed Noori Pourhassan, Behnam Sakalli, Izzet |
| author_facet | Gashti, Saeed Noori Pourhassan, Behnam Sakalli, Izzet |
| contents | This paper studies the thermodynamic topology through the bulk-boundary and restricted phase space (RPS) frameworks. In bulk-boundary framework, we observe two topological charges $(ω= +1, -1)$ concerning the non-extensive Barrow parameter and with ($δ=0$) in Bekenstein-Hawking entropy. For Renyi entropy, different topological charges are observed depending on the value of the $λ$ with a notable transition from three topological charges $(ω= +1, -1, +1)$ to a single topological charge $(ω= +1)$ as $λ$ increases. Also, by setting $λ$ to zero results in two topological charges $(ω= +1, -1)$. Sharma-Mittal entropy exhibits three distinct ranges of topological charges influenced by the $α$ and $β$ with different classifications viz $β$ exceeds $α$, we will have $(ω= +1, -1, +1)$, $β= α$, we have $(ω= +1, -1)$ and for $α$ exceeds $β$ we face $(ω= -1)$. Also, Kaniadakis entropy shows variations in topological charges viz we observe $(ω= +1, -1)$ for any acceptable value of $K$, except when $K = 0$, where a single topological charge $(ω= -1)$. In the case of Tsallis-Cirto entropy, for small parameter $Δ$ values, we have $(ω= +1)$ and when $Δ$ increases to 0.9, we will have $(ω= +1, -1)$. When we extend our analysis to the RPS framework, we find that the topological charge consistently remains $(ω= +1)$ independent of the specific values of the free parameters for Renyi, Sharma-Mittal, and Tsallis-Cirto. Additionally, for Barrow entropy in RPS, the number of topological charges rises when $δ$ increases from 0 to 0.8. Finally for Kaniadakis entropy, at small values of $K$, we observe $(ω= +1)$. However, as the non-extensive parameter $K$ increases, we encounter different topological charges and classifications with $(ω= +1, -1)$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_12137 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Thermodynamic Topology and Phase Space Analysis of AdS Black Holes Through Non-Extensive Entropy Perspectives Gashti, Saeed Noori Pourhassan, Behnam Sakalli, Izzet High Energy Physics - Theory General Relativity and Quantum Cosmology This paper studies the thermodynamic topology through the bulk-boundary and restricted phase space (RPS) frameworks. In bulk-boundary framework, we observe two topological charges $(ω= +1, -1)$ concerning the non-extensive Barrow parameter and with ($δ=0$) in Bekenstein-Hawking entropy. For Renyi entropy, different topological charges are observed depending on the value of the $λ$ with a notable transition from three topological charges $(ω= +1, -1, +1)$ to a single topological charge $(ω= +1)$ as $λ$ increases. Also, by setting $λ$ to zero results in two topological charges $(ω= +1, -1)$. Sharma-Mittal entropy exhibits three distinct ranges of topological charges influenced by the $α$ and $β$ with different classifications viz $β$ exceeds $α$, we will have $(ω= +1, -1, +1)$, $β= α$, we have $(ω= +1, -1)$ and for $α$ exceeds $β$ we face $(ω= -1)$. Also, Kaniadakis entropy shows variations in topological charges viz we observe $(ω= +1, -1)$ for any acceptable value of $K$, except when $K = 0$, where a single topological charge $(ω= -1)$. In the case of Tsallis-Cirto entropy, for small parameter $Δ$ values, we have $(ω= +1)$ and when $Δ$ increases to 0.9, we will have $(ω= +1, -1)$. When we extend our analysis to the RPS framework, we find that the topological charge consistently remains $(ω= +1)$ independent of the specific values of the free parameters for Renyi, Sharma-Mittal, and Tsallis-Cirto. Additionally, for Barrow entropy in RPS, the number of topological charges rises when $δ$ increases from 0 to 0.8. Finally for Kaniadakis entropy, at small values of $K$, we observe $(ω= +1)$. However, as the non-extensive parameter $K$ increases, we encounter different topological charges and classifications with $(ω= +1, -1)$. |
| title | Thermodynamic Topology and Phase Space Analysis of AdS Black Holes Through Non-Extensive Entropy Perspectives |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2412.12137 |