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

Abstract

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.