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arXiv · 2402.15531

Topological classes of thermodynamics of the rotating charged AdS black holes in gauged supergravities

Xiao-Dan Zhu·Di Wu·Dan Wen
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Abstract

In this paper, we investigate the topological numbers of rotating charged AdS black holes in both four- and five-dimensional gauged supergravity theories. Our analysis is conducted within the framework of the thermodynamical topological approach to black holes, utilizing the generalized off-shell Helmholtz free energy. We demonstrate that the number of rotation parameters plays a significant role in determining the topological numbers of five-dimensional rotating AdS black holes. Moreover, our findings indicate that the topological numbers of both four- and five-dimensional rotating AdS black holes are not influenced by the number of electric charge parameters. This highlights a distinct difference in how rotation and electric charge parameters impact the thermodynamic topological properties of these black holes.

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Xiao-Dan Zhu, Di Wu, Dan Wen. 2024-02-22. Topological classes of thermodynamics of the rotating charged AdS black holes in gauged supergravities. https://doi.org/10.1016/j.physletb.2024.138919

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