Sharma-Mittal统计下黑洞热力学拓扑
Black Holes Thermodynamic Topology in Sharma-Mittal Statistics
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中文总结 AI 辅助
本研究在Sharma-Mittal熵框架下，利用Duan的Φ-映射理论计算黑洞拓扑数，发现d>4时拓扑分类与维度无关，但高维与四维黑洞热力学拓扑行为不同。
中文摘要 AI 辅助
在本研究中，我们探讨了Sharma-Mittal熵框架下黑洞的热力学拓扑。我们的研究涵盖了多种黑洞解，包括$d$维带电和不带电的黑洞，以及Schwarzschild和Reissner-Nordström黑洞。通过引入由两个参数$\delta$和$R$表征的Sharma-Mittal熵，我们探讨了偏离标准Boltzmann-Gibbs统计如何修改这些系统的热力学结构和稳定性性质。利用Duan的$\Phi$-映射理论，我们计算了相应的拓扑数，并根据绕数$W$将黑洞划分为不同的拓扑类别。此外，我们的分析表明，在Sharma-Mittal形式体系内，当$d>4$时，拓扑分类与时空维度无关，尽管高于四维的维度表现出与四维Schwarzschild和Reissner-Nordström黑洞不同的特征，揭示了广义统计下热力学拓扑的不同行为。
英文摘要
In this study, we explore the thermodynamic topology of black holes within the Sharma-Mittal entropy framework. Our study covers several black hole solutions, including charged and uncharged black holes in $d$-dimensional, as well as Schwarzschild and Reissner-Nordström black holes. By introducing the Sharma-Mittal entropy characterized by two parameters $δ$ and $R$, we explore how deviations from the standard Boltzmann-Gibbs statistics modify the thermodynamic structure and stability properties of these systems. Using Duan's $Φ$-mapping theory, we compute the corresponding topological numbers and classify black holes into distinct topological categories according to the winding number $W$. Moreover, our analysis shows that, within the Sharma-Mittal formalism, the topological classification is independent of spacetime dimension in the case $d>4$, although dimensions higher than four exhibit distinct features compared to the four-dimensional Schwarzschild and Reissner-Nordström black holes, reveal different behavior of thermodynamic topology under generalized statistics.
发表机构
- Mohammed I University（穆罕默德一世大学）
- Laboratory of Physics of Matter and Radiation, Mohammed I University（物质与辐射物理实验室，穆罕默德一世大学）
- Astrophysical and Cosmological Center（天体物理与宇宙学中心）
- Higher School of Education and Training, Mohammed I University（教育与培训高等学院，穆罕默德一世大学）
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