Topology of the charged AdS black hole in restricted phase space

Abstract

The local topological properties of black hole systems can be expressed by the winding numbers as the defects. As so far, AdS black hole thermodynamics is often depicted by the dual parameters of $(T,S),(P,V),(\Phi ,Q)$ in the extended phase space, while there is several study on the black hole thermodynamics in the restricted phase space. In this paper, we analyze the topological properties of the charged AdS black holes in the restricted phase space under the higher dimensions and higher order curvature gravities 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 the dimension $d$, the highest order $k$ of the Lanczos-Lovelock densities.

References in corpus (27)

• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• Enthalpy and the Mechanics of AdS Black Holes
• Gauss-Bonnet Black Holes in AdS Spaces
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Insight into the Microscopic Structure of an AdS Black Hole from Thermodynamical Phase Transition
• Black Hole Scan
• Dimensionally Continued Black Holes
• Black Hole Solutions as Topological Thermodynamic Defects
• Superfluid Black Holes
• Topology of black hole thermodynamics
• Holographic Thermodynamics Requires a Chemical Potential for Color
• Topological Charge and Black Hole Photon Spheres
• Consistent thermodynamics and topological classes for the four-dimensional Lorentzian charged Taub-NUT spacetimes
• Classifying topology of consistent thermodynamics of the four-dimensional neutral Lorentzian NUT-charged spacetimes
• Van der Waals phase transition in the framework of holography
• Thermodynamic topology of 4D Dyonic AdS black holes in different ensembles
• Restricted phase space thermodynamics for AdS black holes via holography
• Topological interpretation for phase transitions of black holes
• Thermodynamics of Kerr-AdS black holes in the restricted phase space
• Van der Waals criticality in AdS black holes: a phenomenological study
• Evolution of the Chern-Simons Vortices
• Thermogeometric phase transition in a unified framework
• Thermodynamics for higher dimensional rotating black holes with variable Newton constant
• Phase transition and thermodynamic stability of topological black holes in Hořava-Lifshitz gravity
• Restricted phase space thermodynamics of Einstein-power-Yang-Mills AdS black hole
• Phase transition of non-linear charged Anti-de Sitter black holes

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