Quasiperiodic oscillations around hairy black holes in Horndeski gravity
Rayimbaev J. Dialektopoulos K.F. Sarikulov F. Abdujabbarov A.
July 2023Institute for Ionics
European Physical Journal C
2023#83Issue 7
Testing gravity theories and their parameters using observations is an important issue in relativistic astrophysics. In this context, we investigate the motion of test particles and their harmonic oscillations in the spacetime of non-rotating hairy black holes (BHs) in Hordeski gravity, together with astrophysical applications of quasiperiodic oscillations (QPOs). We show possible values of upper and lower frequencies of twin-peak QPOs which may occur in the orbits from innermost stable circular orbits to infinity for various values of the Horndeski parameter q in relativistic precession, warped disk models, and three different sub-models of the epicyclic resonant model. We also study the behaviour of the QPO orbits and their position relative to innermost stable circular orbits (ISCOs) with respect to different values of the parameter q. It is obtained that at a critical value of the Horndeski parameter ISCO radius takes 6M which has been in the pure Schwarzschild case. Finally, we obtain mass constraints of the central BH of microquasars GRS 1915+105 and XTE 1550-564 at the GR limit and the possible value of the Horndeski parameter in the frame of the above-mentioned QPO models. The analysis of orbits of twin peak QPOs with the ratio of upper and lower frequencies 3:2, around the BHs in the frame of relativistic precession (RP) and epicyclic resonance (ER4) QPO models have shown that the orbits locate close to the ISCO. It is obtained that the distance between QPO orbits and ISCO is less than the error of the observations.
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Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, Tashkent, 100000, Uzbekistan
Akfa University, Milliy Bog Street 264, Tashkent, 111221, Uzbekistan
National University of Uzbekistan, Tashkent, 100174, Uzbekistan
Tashkent State Technical University, Tashkent, 100095, Uzbekistan
Department of Physics, Nazarbayev University, 53 Kabanbay Batyr Avenue, Astana, 010000, Kazakhstan
Laboratory of Physics, Faculty of Engineering, Aristotle University of Thessaloniki, Thessaloniki, 54124, Greece
School of Mathematics and Natural Sciences, New Uzbekistan University, Mustaqillik Ave. 54, Tashkent, 100007, Uzbekistan
Ulugh Beg Astronomical Institute, Astronomy str. 33, Tashkent, 100052, Uzbekistan
Inha University in Tashkent, Ziyolilar 9, Tashkent, 100170, Uzbekistan
Institute of Fundamental and Applied Research
Akfa University
National University of Uzbekistan
Tashkent State Technical University
Department of Physics
Laboratory of Physics
School of Mathematics and Natural Sciences
Ulugh Beg Astronomical Institute
Inha University in Tashkent
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