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

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arxiv 2402.15531 v3 pith:6IOYRCE2 submitted 2024-02-22 hep-th gr-qc

Xiao-Dan Zhu , Di Wu , Dan Wen This is my paper · ORCID
classification hep-thgr-qc
keywords blackholestopologicalrotatingfive-dimensionalnumbersparameterscharge
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Restricted Phase Space Thermodynamics of 4D Dyonic AdS Black Holes: Insights from Kaniadakis Statistics and Emergence of Superfluid $\lambda$-Phase Transition

    hep-th 2024-12 conditional novelty 4.0 of 10

    Using Kaniadakis entropy in restricted phase space thermodynamics, the authors report a superfluid-lambda-like phase transition and an ultra-large unstable black hole branch for 4D dyonic AdS black holes.

  2. Topological Insights into Black Hole Thermodynamics: Non-Extensive Entropy in CFT framework

    gr-qc 2025-01 reject novelty 3.0 of 10

    For Gauss-Bonnet-AdS black holes in CFT thermodynamics, the paper reports that hand-chosen Rényi, Sharma-Mittal, and LQG entropy parameters control whether the topological charge is +1 or 0 and whether the phase trans...

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