Harmonic oscillation and orbital morphology for spinning charged quantum corrected black hole
This study investigates the dynamical behavior of particle's test around a spinning charged Einstein-Maxwell-dilaton (EMd) quantum corrected black hole (QCBH) by examining the effects of spinning parameter $a$, quantum correction parameter $b$, and charge parameter $Q$. Using EMd spacetime geometry, we analyze the effective potential and effective force to determine the stability and structure of the circular orbits in a strong gravitational field. Furthermore, we calculate the oscillation frequencies radial $(Ω_r)$, vertical $(Ω_θ)$, and angular $(Ω_ϕ)$, as well as the corresponding Periapsis and Lense-Thirring precession frequencies. The spin parameter primarily determines the spinning properties of spacetime, while the quantum correction and charge particle introduce additional biases to Kerr-Newman geometry, particularly near the event horizon. These corrections alter the position and stability of the circular orbits, and the spectrum effectively associates with particle's motion. The results provide a comprehensive description of the orbital dynamics of spinning EMd QCBH through future high-precision astrophysical observations.