Ellis Wormholes in Anti-De Sitter Space

TL;DR

This paper constructs symmetric, massless traversable Ellis wormholes in anti-de Sitter space supported by a phantom field, highlighting their geometric properties and inherent instability.

Contribution

It introduces a new class of symmetric, massless Ellis wormholes in anti-de Sitter space supported by a phantom field, extending previous flat-space solutions.

Findings

Wormholes are massless and symmetric with a single throat.

They exhibit a decreasing circumferential radius from infinity to the throat.

These wormholes possess an unstable radial mode.

Abstract

We construct traversable wormholes with anti-de Sitter asymptotics supported by a phantom field. These wormholes are massless and symmetric with respect to reflection of the radial coordinate $\eta \to - \eta$. Their circumferential radius decreases monotonically from radial infinity to their single throat. Analogous to their asymptotically flat counterparts, these anti-de Sitter wormholes possess an unstable radial mode.