https://doi.org/10.1140/epjp/s13360-026-07984-z
Regular Article
Geodesic structure and thermodynamic properties of Finsler–Bardeen black holes surrounded by quintessence
1
Ulugh Beg Astronomical Institute of the Uzbekistan Academy of Sciences, Astronomy str. 33, 100052, Tashkent, Uzbekistan
2
Department of Physics, National University of Uzbekistan, 100174, Tashkent, Uzbekistan
3
Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, 100000, Tashkent, Uzbekistan
4
University of Tashkent for Applied Sciences, Str. Gavhar 1, 100149, Tashkent, Uzbekistan
5
Kimyo International University in Tashkent, Shota Rustaveli str. 156, 100121, Tashkent, Uzbekistan
6
Research Center of Astrophysics and Cosmology, Khazar University, 41 Mehseti Street, AZ1096, Baku, Azerbaijan
7
School of Physics, Harbin Institute of Technology, 150001, Harbin, People’s Republic of China
8
Andijan State University, Universitet Str. 129, 170100, Andijan, Uzbekistan
a
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b
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Received:
1
April
2026
Accepted:
19
June
2026
Published online:
6
July
2026
Abstract
In this paper, we investigate the geodesic structure and thermodynamic properties of a Finsler–Bardeen black hole surrounded by quintessence. The spacetime geometry incorporates nonlinear electrodynamics through the magnetic charge Q and a quintessence field characterized by the normalization parameter c and the equation-of-state parameter 
. A Finsler deformation parameter 
introduces anisotropic corrections to the standard Riemannian geometry. Using the Lagrangian formalism, the equations of motion for test particles are derived, and the effective potential governing circular motion is analyzed. We examine the influence of the model parameters on the specific energy, angular momentum, and radius of the innermost stable circular orbit (ISCO). In addition, the thermodynamic properties of the black hole are studied by evaluating the Hawking temperature, enthalpy, entropy, heat capacity, and Gibbs free energy. The results demonstrate that the combined effects of Finsler deformation, magnetic charge, and quintessence significantly modify orbital stability and thermodynamic behavior compared to the standard Bardeen black hole.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2026
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
