ABSTRACT In this study, we present a novel exact solution to the gravitational field equations, known as the Ayón‐Beato–García black hole (BH) solution, set against the backdrop of anti‐de Sitter space and surrounded by a quintessence field (QF). This solution serves as an interpolation between three distinct anti‐de Sitter BH configurations, namely, the Ayón‐Beato–García, Schwarzschild–Kiselev, and the standard Schwarzschild BH solutions. The first aspect of our investigation focuses on the geodesic motion of particles, where we explore how the BH's space‐time geometry‐incorporating the effects of nonlinear electrodynamics (NLED), the QF, and the curvature radius‐influences the dynamics of both massless and massive particles near the BH. To further enrich our analysis, we extend the study to include the perturbative dynamics of a massless scalar field within the BH solution, placing special emphasis on the scalar perturbative potential. Subsequently, we focus into the phenomenon of BH shadows, examining how various parameters, such as the NLED, the curvature of space‐time, and the presence of the QF, impact the size and shape of the shadow cast by the BH. In the final segment of our study, we shift our attention to the thermodynamics of the BH solution. We compute several essential thermodynamic quantities, including the Hawking temperature, specific heat capacity, and Gibbs free energy, analyzing how these properties evolve in response to changes in the various parameters that define the space‐time geometry, which in turn affect the gravitational field when compared to the traditional BH solutions.
Al‐Badawi et al. (2026) studied this question.