Topological AdS black holes surrounded by Chaplygin dark fluid: From stability to geometrothermodynamic analysis
Sekhmani Y. Luciano G.G. Rayimbaev J. Jasim M.K. Al-Badawi A. Maurya S.K.
December 2024Elsevier B.V.
Physics of the Dark Universe
2024#46
Implementing the concept of Dark Fluid with a Chaplygin-like equation of state within General Relativity, we construct a new higher-dimensional, static, and spherically symmetric anti-de Sitter (AdS) black hole solution. Energy conditions are explored alongside curvature singularity tools. The inspection at the level of the phase structure and P−v critical behavior is carried out in the context of the extended phase space, where the cosmological constant appears as pressure. Our findings disclose non-trivial similarities between the small/large phase transition of AdS black holes surrounded by Chaplygin dark fluid and van der Waals systems’ liquid/gas phase transition. This analysis offers insights into the physical interpretation of the P−v diagram and identifies critical exponents that reveal the scaling behavior of thermodynamic quantities close to criticality in a universal manner. We finally deepen our understanding of the thermodynamic properties and microstructure of AdS black holes by leveraging the geometrothermodynamic formalism. Specifically, we employ tools, including Weinhold, Ruppeiner, Hendi–Panahiyan–Eslam–Momennia (HPEM), and Quevedo classes I and II. We show that each class of metrics predicts either the physical limitation point and/or the phase-transition critical points, with HPEM and Quevedo formulations providing richer information about the phase transitions. Altogether, this study contributes to advancing our knowledge of the role of Chaplygin gas in General Relativity and thoroughly examining the thermodynamic phase structure of high-dimensional AdS black holes under extreme conditions.
Chaplygin dark fluid , Energy conditions , Geometrothermodynamic , Higher-dimensional black holes , Topological AdS black holes
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Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Astana, 010009, Kazakhstan
Department of Chemistry, Physics, Environmental and Soil Sciences, Escola Politècnica Superior, Universitat de Lleida, Av. Jaume II, 69, Lleida, 25001, Spain
Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, Tashkent, 100000, Uzbekistan
University of Tashkent for Applied Sciences, Gavhar Str. 1, Tashkent, 100149, Uzbekistan
Shahrisabz State Pedagogical Institute, Shahrisabz Str. 10, Shahrisabz, 181301, Uzbekistan
Tashkent State Technical University, Tashkent, 100095, Uzbekistan
Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, Nizwa, 616, Oman
Department of Physics, Al-Hussein Bin Talal University, P. O. Box: 20, Maan, 71111, Jordan
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics
Department of Chemistry
Institute of Fundamental and Applied Research
University of Tashkent for Applied Sciences
Shahrisabz State Pedagogical Institute
Tashkent State Technical University
Department of Mathematical and Physical Sciences
Department of Physics
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