Thermodynamics and topological classifications of static non-extremal four-charge AdS black hole in the five-dimensional $$\mathcal {N}= 2$$, $$STU-W^2U$$ gauged supergravity
Year: 2026
Type: article
Abstract: In this paper, we investigate thermodynamical aspects of a novel static non-extremal black hole solution in the five-dimensional anti-de Sitter (AdS) space carrying four independent electric charge parameters and with a negative cosmological constant, within the framework of $$D=5$$ D = 5 , $$\mathcal {N}= 2$$ N = 2 gauged supergravity coupled to three vector multiplets specified by the pre-potential $$\mathcal {V}= STU -W^2U \equiv 1$$ V = S T U - W 2 U ≡ 1 . A central outcome of our work is the demonstration that the thermodynamics of this solution consistently satisfies both the differential and integral forms of the mass formulae of black hole thermodynamics. When the fourth charge is set to zero, our configuration reduces to the known three-charge static non-extremal AdS $$_5$$ 5 black hole within the gauged STU model, and its thermodynamic behavior connects smoothly to that limit. Finally, we also provide a brief discussion about topological classifications of its thermodynamics.
Source: The European Physical Journal C
Authors: Di Wu, Shuang-Qing Wu
Institution: China West Normal University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Awards: G4550890110, G7512978759
OpenAlex ID: W4416618335