https://doi.org/10.1140/epjc/s10052-024-12597-w
Regular Article - Theoretical Physics
Phase structure of charged AdS black holes surrounded by exotic fluid with modified Chaplygin equation of state
1
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, 010009, Astana, Kazakhstan
2
L. N. Gumilyov Eurasian National University, 010008, Astana, Kazakhstan
3
New Uzbekistan University, Movarounnahr Str. 1, 100007, Tashkent, Uzbekistan
4
Central Asian University, 111221, Tashkent, Uzbekistan
5
Tashkent University of Applied Sciences, Gavhar Str. 1, 100149, Tashkent, Uzbekistan
6
Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, 100000, Tashkent, Uzbekistan
7
Department of Chemistry, Physics, Environmental and Soil Sciences, Escola Politècnica Superior, Universitat de Lleida, Av. Jaume II, 69, 25001, Lleida, Spain
8
Department of Physics, Moran College, Moranhat, 785670, Charaideo, Assam, India
9
Theoretical Physics Division, Centre for Atmospheric Studies, Dibrugarh University, 786004, Dibrugarh, Assam, India
Received:
8
November
2023
Accepted:
21
February
2024
Published online:
4
March
2024
By considering the concept of the modified Chaplygin gas (MCG) as a single fluid model unifying dark energy and dark matter, we construct a static, spherically charged black hole (BH) solution in the framework of General Relativity. The P–V criticality of the charged anti-de Sitter (AdS) BH with a surrounding MCG is explored in the context of the extended phase space, where the negative cosmological constant operates as a thermodynamical pressure. This critical behavior shows that the small/large BH phase transition is analogous to the van der Waals liquid/gas phase transition. Accordingly, along the P–V phase spaces, we derive the BH equations of state and then numerically evaluate the corresponding critical quantities. Similarly, critical exponents are identified, along with outcomes demonstrating the scaling behavior of thermodynamic quantities near criticality to a universal class. The use of geometrothermodynamic (GT) tools finally offers a new perspective on the discovery of the critical phase transition point. At this stage, we apply a class of GT tools, such as Weinhold, Ruppeiner, HPEM, and Quevedo classes I and II. The findings are therefore non-trivial, as each GT class metric captures at least either the physical limitation point or the phase transition critical point. Overall, this paper provides a detailed study of the critical behavior of the charged AdS BH with surrounding MCG.
© The Author(s) 2024
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Funded by SCOAP3.
