https://doi.org/10.1140/epjc/s10052-023-11702-9
Regular Article - Theoretical Physics
Orbital motion and quasi-periodic oscillations with periastron and Lense–Thirring precession of slowly rotating Einstein–Æther black hole
1
School of Mathematics and Statistics, Changshu Institute of Technology, 215500, Suzhou, People’s Republic of China
2
Department of Physics, Zhejiang Normal University, 321004, Jinhua, People’s Republic of China
3
Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, P.O. Box 33, 616, Nizwa, Sultanate of Oman
4
New Uzbekistan University, Mustaqillik Ave. 54, 100007, Tashkent, Uzbekistan
b
gmustafa3828@gmail.com
c
sunil@unizwa.edu.om
Received:
8
April
2023
Accepted:
8
June
2023
Published online:
9
July
2023
We study the orbital and oscillatory motion of test particles moving around slowly rotating first and second kinds of Einstein–Æther black holes. In relation to the black hole parameters, we find analytical solutions for the radial profiles of specific energy and specific angular momentum of the equatorial stable circular orbits. The properties of the co-rotating as well as contra-rotating innermost stable circular orbits are analyzed. We examine the radial profiles of the frequencies of latitudinal and radial harmonic oscillations as a function of the black hole mass and dimensionless coupling constants of the theory. The key features of quasi-periodic oscillations of test particles near the stable circular orbits in an equatorial plane of the black hole are discussed. We investigate the positions of resonant radii for high-frequency quasi-periodic oscillations models, namely epicyclic resonance and its variants, relativistic precession and its variants, tidal disruption, as well as warped disc models, considered in the background of slowly rotating first and second kinds of slowly rotating Einstein–Æther black holes. Furthermore, Periastron and Lense–Thirring precessions have been discussed. We demonstrate that the dimensionless coupling parameters of the theory have a strong influence on particle motion around Einstein–Æther black holes.
© The Author(s) 2023
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