Influence of hairy parameters on particle motion and fundamental frequencies around Hayward regular black holes

We investigate the particle motion around a hairy Hayward regular black hole, focusing on how the parameters of the model influence the particle motion. The black hole is characterized by five parameters: its mass [Formula: see text], parameter [Formula: see text] describing the charge of the black hole, a coupling constant [Formula: see text], parameter [Formula: see text], and a parameter [Formula: see text] describing the hair of the black hole. We examine the instability of circular orbits using the effective potential approach. In this work, we have obtained analytical expressions for the energy and angular momentum of test particles in terms of the parameters characterizing the black hole. We also examined the innermost stable circular orbits and the effective forces that influence particle trajectories. Furthermore, the study includes an analysis of epicyclic oscillations near the equatorial plane, leading to closed-form expressions for the radial, vertical, and orbital frequencies. The frequency of periastron precession has also been investigated in detail. A comparison with the standard Hayward regular black hole has been carried out, highlighting the differences introduced by the additional parameters. Our results indicate that these parameters play a crucial role in shaping the motion of particles, uncovering new and interesting dynamical features.

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