https://doi.org/10.1140/epjc/s10052-025-15171-0
Regular Article - Theoretical Physics
New analytical model of static black hole with a dark matter halo and parametric constraints through quasiperiodic oscillations
1
School of Physics, Harbin Institute of Technology, 150001, Harbin, People’s Republic of China
2
Tashkent State Technical University, 100095, Tashkent, Uzbekistan
3
Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, 100000, Tashkent, Uzbekistan
4
Institute for Theoretical Physics and Cosmology, Zhejiang University of Technology, 310023, Hangzhou, China
5
Tashkent University of Applied Sciences, Gavhar Str. 1, 100149, Tashkent, Uzbekistan
6
Institute for Advanced Studies, New Uzbekistan University, Movarounnahr Str. 1, 100000, Tashkent, Uzbekistan
7
Institute of Theoretical Physics, National University of Uzbekistan, 100174, Tashkent, Uzbekistan
8
Western Caspian University, AZ1001, Baku, Azerbaijan
a
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b
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Received:
29
October
2025
Accepted:
2
December
2025
Published online:
17
December
2025
Abstract
A novel analytical Schwarzschild-like black hole (BH) solution is derived. It exhibits a static BH with a dark matter (DM) halo characterized by a Dehnen-type density profile. This solution could represent an alternative perspective on the interaction of black hole-dark matter systems, providing new insights into the fundamental properties of DM halos. We study the properties of the newly derived BH solution by examining its spacetime curvature characteristics and energy conditions, providing insights into how the DM halo influences these fundamental characteristics. Additionally, we analyze the timelike geodesics of test particles in the obtained BH-DM spacetime, highlighting how the presence of the novel Dehnen-type DM halo alters the gravitational dynamics and modifies particle trajectories. Increase of the DM halo’s density 
and characteristic scale 
leads to an outward shift of both stable and unstable circular orbits. Finally, we test our model by fitting it to real data from the microquasars GRO J1655-40, GRS 1915+105, and XTE J1550-564 using a statistical Markov Chain Monte Carlo (MCMC) method. This allows us to find the best estimates for the properties of the DM halo surrounding these systems.
© The Author(s) 2025
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Funded by SCOAP3.
