Dynamics of geodesics around the Bardeen-AdS black hole immersed inquintessence

This paper investigates the dynamics of the timelike and null geodesics near the Bardeen-AdS black holeimmersed in quintessence. Specifically, the equation of geodesic motion is derived by solving the Hamilton-Jacobi equation of the test particles, including the timelike particles, neutrinos, and photons. Due to thenonlinear electrodynamics' effect on this black hole spacetime, photon motion is governed by the effectivegeometry, not the spacetime geometry. Furthermore, the study examines attracting, escaping, and bound orbits,and illustrates some orbits with intriguing shapes. The test particles' circular orbits (general circular orbits andinnermost/outermost stable circular orbits) are discussed in detail, wherein these orbits are principally affectedby the impact parameter, the magnetic charge, and the quintessential normalization constant. In particular,the presence of quintessence makes the spacetime structure of the black hole more complex. This results ina greater number of circular orbits for the particles around it and a more diverse shape for the curve of theradius of the circular orbit with the magnetic charge. The stability of the timelike geodesics is analyzed bycalculating the Lyapunov exponent. In addition, the properties of black hole horizons are presented. Finally,the critical magnetic charge and critical quintessential normalization constant, with which two horizons mergeinto one, are discussed