Scalar shell dynamics of quantum-corrected Schwarzschild black hole surrounded by quintessence field

With a Kiselev spacetime around Schwarzschild black holes that have undergone quantum correction, the goal of this work is to examine the geometric structure of a thin-shell. In order to do so, we take into consideration black hole solutions and match the inner Minkowski spacetime using a cut and paste method. Our findings indicate that the use of a phantom-like equation of state, such as quintessence, dark energy, and phantom energy, in the linearized radial perturbation technique shows stable thin-shell configurations that lie beyond the outer manifold’s predicted position of the event horizon. Moreover, we discover that the characteristics of the black hole solutions have a significant impact on the thin-shell stability. We examine the behavior of a thin-shell configuration with massless and massive scalar fields by using Klein–Gordon’s equation of motion. According to our findings, the thin-shell system dynamics are significantly influenced by the scalar field, resulting in interesting phenomena including expansion and collapse. These results provide fresh light on the behavior of black hole solutions by providing important insights into the interaction between quantum correction factors related to scalar fields and thin-shell dynamics. In particular, our research suggests that the quantum correction parameter decreases the stable configuration of a Schwarzschild black hole encircled by a quintessence field.