Stable phantom energy traversable wormhole models

TL;DR

This paper constructs and analyzes stable traversable wormhole models supported by phantom energy, a cosmic fluid with an equation of state that violates the null energy condition, and investigates their physical properties and stability.

Contribution

It introduces a method to model stable phantom energy traversable wormholes by matching interior solutions to exterior vacuum and examines their stability under radial perturbations.

Findings

Stable wormhole configurations can be achieved by adjusting the throat radius.

The transition layer's stability depends on the wormhole parameters.

Physical properties of phantom wormholes are thoroughly analyzed.

Abstract

A possible candidate for the present accelerated expansion of the Universe is ''phantom energy'', which possesses an equation of state of the form $\omega\equiv p/\rho<-1$, consequently violating the null energy condition. As this is the fundamental ingredient to sustain traversable wormholes, this cosmic fluid presents us with a natural scenario for the existence of these exotic geometries. In this context, we shall construct phantom wormhole geometries by matching an interior wormhole solution, governed by the phantom energy equation of state, to an exterior vacuum at a junction interface. Several physical properties and characteristics of these solutions are further investigated. The dynamical stability of the transition layer of these phantom wormholes to linearized spherically symmetric radial perturbations about static equilibrium solutions is also explored. It is found that the respective stable equilibrium configurations may be increased by strategically varying the wormhole throat radius.