https://doi.org/10.1140/epjc/s10052-026-15379-8
Regular Article - Theoretical Physics
Thermodynamics and topological classifications of static non-extremal four-charge AdS black hole in the five-dimensional 
, 
gauged supergravity
School of Physics and Astronomy, China West Normal University, 637002, Nanchong, Sichuan, People’s Republic of China
a
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b
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Received:
22
October
2025
Accepted:
30
January
2026
Published online:
26
February
2026
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 
, gauged supergravity coupled to three vector multiplets specified by the pre-potential 
. 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
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.
© The Author(s) 2026
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