Insights into dynamical evolution and stability of thin-shell configurations through acoustic black holes

Abstract The main goal of this work is to use the cut and paste method to match the inner flat and outer acoustic Schwarzschild black holes to examine the geometry of a thin-shell. Moreover, the study uses the Klein–Gordon equation and the equation of motion to examine the dynamical evolution of a thin-shell composed of massive as well as massless scalar field. The results of the study show that the collapsing behavior is exhibited by the potential function of a massless scalar shell while the effective potential of a massive scalar shell first collapses and then progressively increases. Additionally, the researchers have analyzed the stable configuration for the phantom-type equation of state encompassing dark energy, quintessence and phantom energy by applying the linearized radial perturbations. As a result, the research suggests that thin-shell Schwarzschild black holes are less stable than acoustic Schwarzschild black holes.