The Stability of a de Sitter MTZ Thin Shell Wormhole Using Two Variable Equations of Different States

Abstract

Using the standard cut-and-paste approach of Visser, we constructed a spherically symmetric de sitter conformally coupled MTZ thin-shell wormhole. The total quantity of exotic matter inside the shell is determined. The wormhole throat radius and the actual quantity of exotic matter are related to each other as well as to the black hole mass. Different types of variable equations of state (EoS), including p——wo and p——A/a^n o, are used to examine the stability of the wormhole. In all cases, stable regions have been found when w>-1/3, w<-1/3 and w<-1 represent the quintessence, dark energy, and phantom energy EoS, respectively. The EoS stability of chaplygin gas is being investigated.