https://doi.org/10.1140/epjc/s10052-025-14431-3
Regular Article - Theoretical Physics
Testing regular black holes in the framework of asymptotically safe gravity using particle dynamics, QPOs, and shadow constraints
1
Department of Physics, Zhejiang Normal University, 321004, Jinhua, People’s Republic of China
2
Research Center of Astrophysics and Cosmology, Khazar University, 41 Mehseti Street, 1096, Baku, Azerbaijan
3
New Uzbekistan University, Movarounnahr street 1, 100000, Tashkent, Uzbekistan
4
Tashkent State Technical University, 100095, Tashkent, Uzbekistan
5
Kimyo International University in Tashkent, Shota Rustaveli str. 156, 100121, Tashkent, Uzbekistan
6
Inha University in Tashkent, Ziyolilar 9, 100170, Tashkent, Uzbekistan
7
University of Tashkent for Applied Sciences, Str. Gavhar 1, 100149, Tashkent, Uzbekistan
8
Department of Physics, Faculty of Science, King Khalid University, Abha, Saudi Arabia
9
School of Science, Walailak University, 80160, Nakhon Si Thammarat, Thailand
10
College of Graduate Studies, Walailak University, 80160, Nakhon Si Thammarat, Thailand
a
phongpichit.ch@mail.wu.ac.th
Received:
8
January
2025
Accepted:
6
June
2025
Published online:
4
July
2025
We investigate the motion of neutral test particles around a non-rotating regular black hole within the framework of asymptotically safe gravity, analyzing the impact of the black hole’s parameters on particle motion. This black hole solution is characterized by an additional parameter, 
, which differentiates it from the standard Schwarzschild black hole solution. We obtain analytical formulations for the energy and angular momentum of equatorial circular orbits as functions of the black hole parameter. The stability of these circular orbits is examined by the effective potential. Additionally, we present a graphical study of the innermost stable equatorial circular orbits as functions of the black hole parameter and investigate the effective force exerted on circular orbits. We also derive the frequencies of radial and latitudinal harmonic oscillations as functions of the model parameters and discuss the key features of quasi-periodic oscillations of test particles near stable circular orbits in the black hole’s equatorial plane. The phenomenon of periastron precession is also considered. Additionally, we explore particle collisions near the black hole and demonstrate that such collisions can produce high energy near the event horizon. Our findings indicate that the black hole parameter significantly influences the motion of test particles around a regular black hole in the context of asymptotically safe gravity. We examine the shadow of black hole and using observational data from the Event Horizon Telescope (EHT) collaboration for Sgr A* and M87*, we have determined the range of parameter that corresponds to the observations.
© The Author(s) 2025
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Funded by SCOAP3.
