Wormhole solutions with a complex ghost scalar field and their instability

TL;DR

This paper constructs wormhole solutions supported by a complex ghost scalar field with self-interaction and demonstrates their linear radial instability.

Contribution

It introduces new wormhole solutions with complex ghost scalar fields and analyzes their stability properties.

Findings

Solutions are regular and asymptotically flat.

Wormholes are unstable under linear radial perturbations.

Supports the existence of exotic matter configurations for wormholes.

Abstract

We study compact configurations with a nontrivial wormholelike spacetime topology supported by a complex ghost scalar field with a quartic self-interaction. For this case, we obtain regular asymptotically flat equilibrium solutions possessing reflection symmetry. We then show their instability with respect to linear radial perturbations.