On the instability of charged wormholes supported by a ghost scalar field

Understand

In previous work, we analyzed the linear and nonlinear stability of static, spherically symmetric wormhole solutions to Einstein's field equations coupled to a massless ghost scalar field.

• Our analysis revealed that all these solutions are unstable with respect to linear and nonlinear spherically symmetric perturbations and showed that the perturbation causes the wormholes to either decay to a Schwarzschild black hole or undergo a rapid expansion.
• Here, we consider charged generalization of the previous models by adding to the gravitational and ghost scalar field an electromagnetic one.
• We first derive the most general static, spherically symmetric wormholes in this theory and show that they give rise to a four-parameter family of solutions.