Study of acoustic thin-shell wormholes with different types of matter distributions

Abstract

The development and stability of acoustic thin-shell wormholes (WHs) within the context of acoustic black holes are examined in this paper. Utilizing linearized radial perturbations, the stability of these WHs is examined. In this study, a variety of equations of state are taken into account, including barotropic, variable Chaplygin, and phantom-like equations of state. According to the findings, the acoustic black hole structure has an unstable configuration for barotropic fluid. However, as the parameter [Formula: see text] gets closer to zero, it does not show any stable or unstable configurations at the event horizon position. For higher values of [Formula: see text] and [Formula: see text], the resulting structure for the phantom-like variable equation of state (EoS) displays stable behavior away from the horizon while presenting unstable configurations close to the event horizon. The possibility of a stable structure rises as [Formula: see text] is increased. Additionally, the constructed structure exhibits stable behavior for [Formula: see text] under extreme acoustic black holes, whereas thin-shell topologies demonstrate unstable behavior outside the event horizon for the generalized Chaplygin variable EoS. However, the structure stabilizes for [Formula: see text] at higher values of [Formula: see text]. The stability of acoustic thin-shell WHs is higher than that of Schwarzschild thin-shell WHs for smaller values of [Formula: see text], indicating that the acoustic black hole parameter greatly influences the stable configurations of thin-shell WHs.