Harmonic oscillation and orbital morphology for spinning charged quantum corrected black hole

Abstract

This study investigates the dynamical behavior of test particles around a spinning charged quantum-corrected black hole (QCBH), constructed within the

sector of the Einstein–Maxwell–dilaton (EMd) framework, by examining the effects of the spin parameter a , quantum correction parameter b , and electric charge parameter Q . Using the resulting QC spinning charged 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 radial

$$(\Omega _r)$$ ( Ω r )

, vertical

$$(\Omega _\theta )$$ ( Ω θ )

, and angular

$$(\Omega _\phi )$$ ( Ω ϕ )

oscillation frequencies, 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 parameter introduce additional deviation from Kerr-Newman geometry, particularly near the event horizon. These corrections alter the position and stability of the circular orbits, and the spectrum is effectively associated with the particle’s motion. The results provide a comprehensive theoretical description of the orbital dynamics of a spinning charged QCBH may be through future high-precision astrophysical observations.