https://doi.org/10.1140/epjc/s10052-025-14344-1
Regular Article - Theoretical Physics
The D-dimensional charged AdS black holes solutions in polytropic dark energy from Barrow entropy
1
Center for Theoretical Physics, Khazar University, 41 Mehseti Street, AZ1096, Baku, Azerbaijan
2
Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, 616, Nizwa, Sultanate of Oman
3
Department of Physics, Dibrugarh University, 786004, Dibrugarh, Assam, India
4
Theoretical Physics Division, Centre for Atmospheric Studies, Dibrugarh University, 786004, Dibrugarh, Assam, India
5
Department of Mathematics and Statistics, Dalhousie University, B3H 3J5, Halifax, NS, Canada
6
National University of Uzbekistan, 100174, Tashkent, Uzbekistan
7
University of Tashkent for Applied Sciences, Gavhar Str. 1, 100149, Tashkent, Uzbekistan
8
Urgench State University, Kh. Alimdjan str. 14, 220100, Urgench, Uzbekistan
9
Shahrisabz State Pedagogical Institute, Shahrisabz Str. 10, 181301, Shahrisabz, Uzbekistan
10
Tashkent State Technical University, 100095, Tashkent, Uzbekistan
11
Department of Nuclear Physics and Astronomy, Samarkand State University, 140104, Samarkand, Uzbekistan
Received:
25
October
2024
Accepted:
22
May
2025
Published online:
17
June
2025
This paper mainly aims to solve the anti-deSitter Black Holes (AdS BH) under the Barrow entropy under polytropic gas fluid, especially the Chaplygin gas. First, we develop this last polytropic model in detail to then obtain the possible solutions and thermodynamic conditions on the energy momentum and the Barrow entropy for spacetimes of spatial dimension 
. Then, we focus on thermodynamic solutions and the different impacts on the Barrow entropy of the black hole, the temperature profile, the mass, and the various physical quantities involved. Afterwards, we focus on the specific cases of the solutions of dimensions 
and 5 to concretely test the models, especially from the point of view of the thermodynamic topology. Finally, we generalize everything by elaborating and testing the stability of the models to arrive at the thermal geometry of the AdS BH.
© The Author(s) 2025
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