Testing quantum-corrected black holes with Kalb–Ramond field effects via trajectories dynamics and frequencies spectra

In this study, we investigate the motion of neutral test particles in the gravitational field of a quantum-corrected, charged AdS Reissner–Nordstrm black hole and influenced by a Kalb–Ramond (KR) field. In this case, using the effective potential formalism, we derive analytical expressions for the specific energy and angular momentum of particles in equatorial circular orbits and examine conditions for the existence of stable and unstable orbits, including the Innermost Stable Circular Orbit (ISCO). Also, we tested the epicyclic oscillations of particles around stable circular trajectories and obtained the corresponding radial, vertical, and azimuthal frequencies as measured by both local and distant observers. In this case, our analysis illustrates the influence of the BH parameter and affects the orbital dynamics and Quasi-Periodic Oscillations (QPOs) properties. Also, these results illustrate BH models and potential implications for astrophysical observations of QPOs in BH properties.