Static phantom wormholes of finite size

TL;DR

This paper introduces new static phantom wormholes with finite size using a quadratic shape function, connecting a phantom wormhole to a dark energy distribution, and analyzing their energy conditions.

Contribution

It presents a novel class of finite-size static phantom wormholes with a quadratic shape function, combining wormhole and dark energy regions in a consistent spacetime.

Findings

Quadratic shape functions enable finite-size wormholes.

Wormhole regions violate the dominant energy condition.

Dark energy regions satisfy the dominant energy condition.

Abstract

In this paper we derive new static phantom traversable wormholes by assuming a shape function with a quadratic dependence on the radial coordinate r. We mainly focus our study on wormholes sustained by exotic matter with positive energy density (as seen by any static observer) and a variable equation of state $p_r/\rho<-1$, dubbed phantom matter. Among phantom wormhole spacetimes extending to infinity, we show that a quadratic shape function allows us to construct static spacetimes of finite size, composed by a phantom wormhole connected to an anisotropic spherically symmetric distribution of dark energy. The wormhole part of the full spacetime does not fulfill the dominant energy condition, while the dark energy part does.