Akademik Veri Yönetim Sistemi
Physics of the Dark Universe, cilt.47, 2025 (SCI-Expanded)
We investigate the orbital and oscillatory motion of test particles around a rotating hairy black hole in the context of Horndeski gravity. This black hole consists of three parameters, namely, the mass M of the black hole, spin parameter a of the black hole, and the hairy parameter q that results from the Horndeski theory of gravity. Analytical solutions are obtained for the radial profiles of specific energy and angular momentum corresponding to equatorial stable circular orbits, in terms of the model parameters. Using the effective potential method, we also examine the stability of these orbits. Additionally, we derive the analytical expressions for frequencies of radial and latitudinal harmonic oscillations, as a function of the black hole's mass, charge, and spin of the black hole, for both local and distant observers. The key characteristics of quasi-periodic oscillations near stable circular orbits in the equatorial plane are explored. Furthermore, we analyze the precession of periastron and the Lense-Thirring effect. Our findings reveal that the particle motion around the black hole is significantly shaped by the parameters of the model.