https://doi.org/10.1140/epjc/s10052-025-15007-x
Regular Article - Theoretical Physics
Thermodynamic topology and geodesics analysis of accelerated charged-AdS black hole with Barrow entropy corrections
1
Institute of Fundamental Physics and Quantum Technology, Department of Physics, School of Physical Science and Technology, Ningbo University, 315211, Ningbo, Zhejiang, People’s Republic of China
2
Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, 57000, Islamabad, Pakistan
3
College of Mathematics and Information Science, Shandong Technology and Business University, 264005, Yantai, People’s Republic of China
4
College of Transportation, Tongji University, 201804, Shanghai, People’s Republic of China
5
Research Center of Astrophysics and Cosmology, Khazar University, 41 Mehseti Street, AZ1096, Baku, Azerbaijan
6
Department of Mathematics, College of Science, King Saud University, P.O.Box 2455, 11451, Riyadh, Saudi Arabia
a
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b
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Received:
8
April
2025
Accepted:
26
October
2025
Published online:
19
November
2025
Abstract
The goal of our work is to analyze the thermodynamic topology of accelerated charged anti-de Sitter black holes with a generalized Barrow modification of the entropy. Using Duan’s 
-mapping theory and generalized Gibbs free energy, we analyze the topological classes of black holes. These tools enable us to calculate integer values that represent the topological features of the black hole. We examine the system within three distinct thermodynamic frameworks: the canonical, mixed canonical, and grand canonical ensembles. In the canonical ensemble, the system maintains fixed electric and magnetic charges. In the mixed canonical ensemble, the electric and magnetic potentials are kept constant. In contrast, the grand canonical ensemble maintains fixed electric and magnetic potentials but allows for charge exchange with the surroundings. These distinct ensembles provide a platform to study how black holes respond to various physical conditions. Specifically, we examine the charged and uncharged topological characteristics related to thermodynamic stability criteria. By applying these analytical methods, we aim to uncover new insights into the thermodynamic and topological properties of black holes. Additionally, we examine the geodesic deviation in an accelerated charged black hole, focusing on the influence of electric and magnetic charges on the courses of nearby geodesics. The complex effects of space-time curvature in this situation are reflected in the tendency of angular geodesics to converge as one advances away from the black hole, in contrast to radial geodesics. This study provides a deeper understanding of how black holes depend on gravitational frameworks and thermodynamic conditions, offering a fresh perspective on their nature and expanding our knowledge in this field.
© The Author(s) 2025
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