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Chinese Physics C > 2024, Vol. 48 > Issue(9): 095109 DOI: 10.1088/1674-1137/ad57b0CSTR: 32044.14.1674-1137/ad57b0

Topology of charged AdS black hole in restricted phase space

  • 1.

    College of Mathematics and Statistics, Shanxi Datong University, Datong 037009, China

  • 2.

    Department of Physics, Shanxi Datong University, Datong 037009, China

  • 3.

    Institute of Theoretical Physics, Shanxi Datong University, Datong 037009, China

  • The local topological properties of black hole systems can be expressed through winding numbers as defects. To date, AdS black hole thermodynamics are often depicted by the dual parameters of $ (T,S),\; (P,V), (\Phi, Q) $ in the extended phase space, while there have been several studies on the black hole thermodynamics in the restricted phase space. In this paper, we analyze the topological properties of charged AdS black holes in the restricted phase space under the higher-dimension and higher-order curvature gravity frame. The results show that the topological number of the charged black hole in the same canonical ensembles is a constant and is independent of the concrete dual thermodynamical parameters. However, the topological number in the grand canonical ensemble is different from that in the canonical ensemble for the same black hole system. Furthermore, these results are independent of dimension dand highest order kof the Lanczos-Lovelock densities.
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Han Wang and Yun-Zhi Du. Topology of the charged AdS black hole in restricted phase space[J]. Chinese Physics C. doi: 10.1088/1674-1137/ad57b0
Han Wang and Yun-Zhi Du. Topology of the charged AdS black hole in restricted phase space[J]. Chinese Physics C. doi:10.1088/1674-1137/ad57b0 shu
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Received: 2024-03-11
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    Topology of charged AdS black hole in restricted phase space

    • 1. College of Mathematics and Statistics, Shanxi Datong University, Datong 037009, China
    • 2. Department of Physics, Shanxi Datong University, Datong 037009, China
    • 3. Institute of Theoretical Physics, Shanxi Datong University, Datong 037009, China
    • Received Date:2024-03-11
    • Available Online:2024-09-15

      Abstract:The local topological properties of black hole systems can be expressed through winding numbers as defects. To date, AdS black hole thermodynamics are often depicted by the dual parameters of $ (T,S),\; (P,V), (\Phi, Q) $ in the extended phase space, while there have been several studies on the black hole thermodynamics in the restricted phase space. In this paper, we analyze the topological properties of charged AdS black holes in the restricted phase space under the higher-dimension and higher-order curvature gravity frame. The results show that the topological number of the charged black hole in the same canonical ensembles is a constant and is independent of

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