https://doi.org/10.1140/epjc/s10052-024-12763-0
Regular Article - Theoretical Physics
Explaining QPOs data for black holes in the Starobinsky–Bel–Robinson gravity
1
Research Centre for Theoretical Physics and Astrophysics, Institute of Physics, Silesian University in Opava, Bezručovo nám. 13, 74601, Opava, Czech Republic
2
New Uzbekistan University, Movarounnahr Str. 1, 100000, Tashkent, Uzbekistan
3
Ulugh Beg Astronomical Institute, Astronomy St. 33, 100052, Tashkent, Uzbekistan
4
Institute of Theoretical Physics, National University of Uzbekistan, 100174, Tashkent, Uzbekistan
5
School of Electrical Engineering and Computer Science, National University of Sciences and Technology, H-12, Islamabad, Pakistan
c
ibrar.hussain@seecs.nust.edu.pk
Received:
4
February
2024
Accepted:
5
April
2024
Published online:
23
April
2024
In this work we explore the properties of the spacetime around the Schwarzschild-like black hole in the Starobinsky–Bel–Robinson gravity through a test particle motion and its quasi periodic oscillations (QPOs) in the circular orbits in the close vicinity of the black hole horizon. We show how the extra spacetime parameter 
affects the effective potential, energy, angular momentum, inner most circular orbit (ISCO) radius, and trajectory of a test particle. Next, we focus on the QPOs of particles and explore it in the relativistic precision model. Finally, we apply our analysis to explain the observational data obtained for several black hole candidates including GRO J1655-40, GRS 1915+105, XTE J1859+226, and XTE J1550-564 and get constraints on their spacetime parameters by employing the Markov Chain Monte Carlo analysis methodology.
© The Author(s) 2024
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Funded by SCOAP3.
