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arXiv 2602.05231hep-thgr-qc
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超旋转Kerr-AdS黑洞热力学拓扑的维度结构

Dimensional structure of thermodynamic topology in ultraspinning Kerr-AdS black holes

School of Physics and Astronomy, China West Normal University（西华师范大学物理与天文学院）

Min Tian, Ying Chen, Di Wu

备注：
8 pages, 2 figures, 1 table, to appear in PLB
发表信息：
Phys. Lett. B 879 (2026) 140658
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AI总结：

应用热力学拓扑框架研究任意维超旋转Kerr-AdS黑洞，发现仅存在两种拓扑结构：标准类$W^{1+}$和奇数维最大旋转黑洞的子类$\ ilde{W}^{1+}$。

摘要：

在本文中，我们将热力学拓扑框架应用于任意时空维度的超旋转Kerr-AdS黑洞。通过构造离壳亥姆霍兹自由能和相关的矢量场，黑洞态被表征为拓扑缺陷，其相结构通过零点、绕数和渐近热力学行为来描述。对四维和五维情况的分析突出了偶数和奇数维构型之间的差异，而逆温曲线的端点行为以及代表性高维情况支持不存在额外的拓扑类或子类。我们发现仅出现两种热力学拓扑结构：大多数构型的标准类$W^{1+}$，以及具有最大旋转的奇数维黑洞的独特子类$\ ilde{W}^{1+}$。这些结果支持了适用于超旋转Kerr-AdS黑洞跨维度的统一分类方案。

英文摘要：

In this paper, we apply the thermodynamic topology framework to ultraspinning Kerr-AdS black holes in arbitrary spacetime dimensions. By constructing the off-shell Helmholtz free energy and the associated vector field, black hole states are characterized as topological defects, and their phase structures are described through zero points, winding numbers, and asymptotic thermodynamic behavior. Analyses of the four- and five-dimensional cases highlight the differences between even- and odd-dimensional configurations, while the endpoint behavior of the inverse-temperature curve, together with representative higher-dimensional cases, supports the absence of additional topological classes or subclasses. We find that only two thermodynamic topological structures appear: the standard class $W^{1+}$ for most configurations, and the distinct subclass $\tilde{W}^{1+}$ for odd-dimensional black holes with maximal rotations. These results support a unified classification scheme valid across dimensions for ultraspinning Kerr-AdS black holes.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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