https://doi.org/10.1140/epjc/s10052-025-15223-5
Regular Article - Theoretical Physics
Epicyclic frequencies around charged regular black hole: constraints using different quasars data
1
Department of Physics, Zhejiang Normal University, 321004, Jinhua, China
2
Research Center of Astrophysics and Cosmology, Khazar University, 41 Mehseti Street, AZ1096, Baku, Azerbaijan
3
College of Transportation, Tongji University, 201804, Shanghai, China
4
Centre for Theoretical Physics, Jamia Millia Islamia, 110025, New Delhi, India
5
Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag 54001, 4000, Durban, South Africa
6
Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, Nizwa 616, Sultanate of Oman
7
University of Tashkent for Applied Sciences, Str. Gavhar 1, 100149, Tashkent, Uzbekistan
8
Urgench State University, Kh. Alimdjan Str. 14, 220100, Urgench, Uzbekistan
9
Tashkent State Technical University, 100095, Tashkent, Uzbekistan
a
faisaljaved.math@gmail.com
b
sunil@unizwa.edu.om
Received:
22
April
2025
Accepted:
14
December
2025
Published online:
5
January
2026
We examine the dynamics of test particles and epicyclic frequencies around a charged regular black hole, investigating how its mass M and charge q influence orbital motion, stability, and high-energy phenomena. Using an effective potential approach, we derive analytical expressions for the specific energy and angular momentum of particles in stable circular orbits, demonstrating that increasing q shifts the innermost stable circular orbits (ISCOs) inward compared to the Schwarzschild black hole. We compute the radial, vertical, and orbital oscillation frequencies, revealing significant deviations from standard black hole predictions, particularly in the 3:2 frequency ratio associated with high-frequency. Through Markov Chain Monte Carlo (MCMC) analysis of observational data from X-ray binaries (including H 1743-322 and GRS 1915+105), we constrain the charge parameter to 
–0.4 at high confidence levels. Further, we study particle collisions near the horizon, finding that centre-of-mass energies can be enhanced by up to 40% for 
, indicating observable signatures in high-energy astrophysical processes. Our results provide testable predictions for distinguishing charged regular black holes from classical singular black holes. This work establishes a framework for probing black hole structures in the strong-gravity regime, with implications for fundamental physics and quantum gravity.
© The Author(s) 2026
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Funded by SCOAP3.
