Quasi-periodic oscillations in rotating Simpson–Visser black holes in STVG

Abstract In this article, we develop a framework to study particle dynamics and quasi-periodic oscillations (QPOs) in a Kerr-like rotating Simpson–Visser black hole endowed with a modified gravity (MOG) coupling α and a regularization parameter b. We study the horizon structure under the influence of these parameters, including the black hole spin. Using the Hamiltonian approach, we derive the equation of motion. Then, by exploiting the Kerr separability structure, we derive closed-form expressions for the effective potential. We examine the effective force, angular momentum, and energy to obtain information about particle motion. In addition, we calculated the Keplerian, radial, and vertical frequencies. We investigate the behavior of black hole parameters as a function of frequency and QPOs. We show how the modified rotating Simpson–Visser MOG black hole alters the spacetime geometry, particle dynamics, and QPOs.