非线性电动力学中带宇宙学常数的磁荷慢速旋转Kerr黑洞的热力学拓扑分类

中文摘要 AI 辅助

本文采用约化的巨正则离壳方案，研究了非线性电动力学（NLED）中带磁荷的慢速旋转Kerr黑洞的热力学拓扑分类。通过构造广义离壳自由能及相应的拓扑矢量场，我们确定了NLED-Kerr黑洞在德西特（dS）和反德西特（AdS）时空中的局域绕数及全局拓扑荷。逆温度曲线从较低径向端点处的有限非零值开始，并在大视界半径处发散。结合绕数$w=-1$的唯一零点，该行为将黑洞识别为所预测的$\overline{W}^{1-}$子类的实现，其全局拓扑数为$W=-1$，且具有单一不稳定分支。在采样的旋转、NLED及磁荷参数范围内，该分类保持不变。在同一方案下，与双分支$W^{0-}$ Kerr-AdS结果的比较表明，NLED有效质量函数与端点行为的改变及稳定大黑洞分支的缺失相关。因此，物理新颖性在于：对于宇宙学常数的两种符号，该旋转NLED系统明确实现了所预测的$\overline{W}^{1-}$子类。

英文摘要

In this work, we investigate the thermodynamic topological classification of slowly rotating Kerr black holes with magnetic charge in nonlinear electrodynamics (NLED) using a reduced grand-canonical off-shell prescription. By constructing the generalized off-shell free energy and the associated topological vector field, we determine the local winding numbers and the global topological charge of the NLED-Kerr black hole in both de Sitter (dS) and anti-de Sitter (AdS) spacetimes. The inverse-temperature curve starts from a finite nonzero value at the lower radial endpoint and diverges at large horizon radius. Together with the single zero of winding number $w=-1$, this behavior identifies the black hole as a realization of the predicted \(\overline{W}^{1-}\) subclass, with global topological number $W=-1$ and a single unstable branch. The classification remains unchanged over the sampled rotation, NLED, and magnetic-charge parameters. Within the same prescription, comparison with the two-branch $W^{0-}$ Kerr-AdS result associates the NLED effective mass function with the changed endpoint behavior and the absence of a stable large-black-hole branch. Thus, the physical novelty is an explicit rotating NLED realization of the predicted \(\overline{W}^{1-}\) subclass for both signs of the cosmological constant.

发表机构

• College of Physics, Guizhou University（贵州大学物理学院）

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