Effect of scalar field on dynamical evolution of thin-shell with hairy Schwarzschild black hole

The major goal of this study is to investigate the structure of a thin-shell by matching the inner flat and exterior hairy Schwarzschild black holes using Visser’s approach. Then, by using the equation of motion and the Klein–Gordon equation, we investigate the evolutionary behavior of a thin-shell composed of scalar fields (massive and massless). It is noticed that the potential function of a massless scalar shell exhibits collapsing behavior, whereas the case of a massive scalar shell exhibits collapsing behavior initially and then gradually expands. Finally, thin-shell stability is observed by using the perturbed form of potential function at equilibrium shell radius with the phantom-like equation of state, i.e., quintessence, dark energy, and phantom energy. It is noted that stable/unstable behavior of thin-shell is found after the expected position of the event horizon of the exterior manifold. Finally, it is concluded that the thin-shell stability of Schwarzschild geometry is more than the hairy Schwarzschild black hole.