Stability of charged thin-shell and thin-shell wormholes: a comparison

Abstract

In this paper, we are interested to compare the stability of geometrical structures of self-gravitating charged thin-shell and thin-shell wormholes in the presence of different types of matter distribution. For this purpose, we develop a thin-shell that connects inner Minkowski spacetime and the outer Reissner-Nordström black hole. We also develop a thin-shell wormhole from the matching of two equivalent copies of Reissner-Nordström black hole by using cut and paste approach. The equation of motion of the shell is used to observe the stability of the developed structures through radial perturbation. We assume barotropic type (generalized barotropic) and non-barotropic type (generalized phantomlike and Chaplygin gas model) matter distributions to discuss the stable configuration of the developed structures. It is found that thin-shell is more stable than thin-shell wormhole for both matter distributions with suitable choice of physical parameters.