Hourava-Lifshitz黑洞中的新拓扑子类
Novel topological subclass in Hourava-Lifshitz black holes
AI总结：
本文在Hourava-Lifshitz引力理论中发现带电静态黑洞的新拓扑子类$\ddot{W}^{1-}$，揭示了稳定性与集合选择的关系。
摘要：
本文探讨了在$z=3$Hourava-Lifshitz引力理论中，带电静态黑洞热力学拓扑的普遍分类，考虑了canonical和grand canonical集合。我们引入了一个新的拓扑子类，称为$\ddot{W}^{1-}$。这一发现扩展了现有的拓扑分类，超越了之前定义的五个类别及其各自的子类。$\ddot{W}^{1-}$子类呈现出一种独特的稳定性特征：在低温 regime 中，相空间中会出现一个不稳定的小微黑洞，而在高温 regime 中，两个不稳定的小微黑洞共存于一个稳定的巨黑洞。我们的研究强调了带电黑洞稳定性对集合选择的依赖性。这些结果有助于完善和扩展黑洞热力学中的拓扑框架，为理解黑洞和引力的本质提供了关键视角。
英文摘要：
This work explores the universal classification of thermodynamic topology for charged static black holes within the $z=3$ Hourava-Lifshitz gravity theory, considering both canonical and grand canonical ensembles. We introduce a new topological subclass, denoted as $\ddot{W}^{1-}$. This finding expands the existing topological classification, going beyond the five previously defined classes and their respective subclasses. The $\ddot{W}^{1-}$ subclass presents a distinct and previously unobserved stability profile: In the low-temperature regime, an unstable small black hole appears in the phase space, whereas, while in the high temperature regime, two unstable small black holes exist together with a stable large black hole. Our study underscores the dependence of charged black hole stability on the selection of the ensemble. These results contribute to refining and expanding the topological framework in black hole thermodynamics, providing key perspectives on the underlying nature of black holes and gravity.
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