Generic spherically symmetric dynamic thin-shell traversable wormholes in standard general relativity

Understand

We consider the construction of generic spherically symmetric thin-shell traversable wormhole spacetimes in standard general relativity.

• By using the cut-and-paste procedure, we comprehensively analyze the stability of arbitrary spherically symmetric thin-shell wormholes to linearized spherically symmetric perturbations around static solutions.
• While a number of special cases have previously been dealt with in scattered parts of the literature, herein we take considerable effort to make the analysis as general and unified as practicable.
• We demonstrate in full generality that stability of the wormhole is equivalent to choosing suitable properties for the exotic material residing on the wormhole throat.