Study of the influence of quantum corrections and strength of quintessential matter in geodesic analysis of a Reissner–Nordström black hole

This study investigates the geodesic characteristics of a quantum-corrected Reissner–Nordström black hole surrounded by quintessence matter. We analyze the geometry of the black hole and the features of the lapse function. Calculations include Hawking’s temperature, surface gravity, and entropy. Employing the effective potential function, the behavior of both radial and circular geodesics is examined for both photon-like and massive particles within the gravitational field of the quantum-corrected black hole. Additionally, we explore the nature of all potential orbits for a test particle within this context. The aim is to explore the impact of the quantum correction parameter and the strength of quintessence on geodesic analysis. Finally, a stability analysis is conducted using the Lyapunov exponent.