https://doi.org/10.1140/epjc/s10052-025-14235-5
Regular Article - Theoretical Physics
Circular motion, QPOs testing, emission energy and thermal fluctuations around a non-singular hairy Bardeen black hole
1
Department of Physics, Zhejiang Normal University, 321004, Jinhua, People’s Republic of China
2
Center for Theoretical Physics, Khazar University, 41 Mehseti Str., AZ1096, Baku, Azerbaijan
3
Department of Mathematics, School of Science, University of Management and Technology, 54000, Lahore, Pakistan
4
Department of Mathematics and Statistics, The University of Lahore, 1-KM Defence Road, 54000, Lahore, Pakistan
5
Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, Nizwa, Sultanate of Oman
6
School of Science, Walailak University, 80160, Nakhon Si Thammarat, Thailand
7
College of Graduate Studies, Walailak University, 80160, Nakhon Si Thammarat, Thailand
8
Department of Physics, Faculty of Science, King Khalid University, Abha, Saudi Arabia
9
Urgench State University, Kh. Alimdjan str. 14, 220100, Urgench, Uzbekistan
a
phongpichit.ch@mail.wu.ac.th
Received:
8
January
2025
Accepted:
27
April
2025
Published online:
26
May
2025
We investigate the dynamics of test particles around a spherically symmetric, non-rotating hairy-Bardeen black hole, and then study the influence of the model’s parameters on the particle motion. The black hole is fully characterized by five parameters, the mass M of the black hole, the charge Q of the black hole, coupling constant 
, the parameter 
describing the hair of the black hole, and a BH parameter 
. Using the effective potential technique, we study the stability and instability of circular equatorial orbits. We calculate the analytical expressions for the energy and angular momentum of test particles as functions of black hole parameters. The effective forces acting on particles as well as the innermost stable circular orbits have also been studied. Epicyclic oscillations of test particles close to the equatorial plane are explored, and analytical expressions for radial, vertical, and orbital frequencies have been derived. We also investigated the frequency of periastron precession of the particles. We also study the thermal properties showing the emission rate of energy and thermal fluctuation by calculating the Hawking temperature. Our findings reveal that the black hole model’s parameters significantly impact particle motion.
© The Author(s) 2025
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Funded by SCOAP3.
