Geodesics and scalar perturbations of deformed AdS-Schwarzschild black hole with a global monopole surrounded by a quintessence field

Abstract: We conduct a comprehensive investigation of a deformed AdS-Schwarzschild black hole with a global monopole surrounded by a quintessence field. Our analysis focuses on the geodesic motion of both null and timelike particles, enabling precise determination of the photon sphere and quantification of forces acting on photon particles. We systematically examine how the deformation parameter, control parameter, global monopole parameter, and quintessence field parameter influence the energy, angular momentum, and angular velocities of test particles in circular orbits within the equatorial plane. Additionally, we derive and analyze the perturbative potentials for scalar and electromagnetic fields, demonstrating how these parameters modify their structural profiles. Through time-domain integration, we explore the evolution of scalar and electromagnetic perturbations, revealing distinct phases of transient behavior and quasinormal ringing. Finally, we investigate the emission rates of this black hole, establishing connections between its shadow radius and thermal characteristics. Our findings reveal that the global monopole parameter, deformation parameter and quintessence field enhance black hole stability by reducing emission rates, while the control parameter, which helps avoid central singularities, accelerates evaporation by increasing emission.