Uniqueness of higher-dimensional phantom field wormholes

TL;DR

This paper proves the uniqueness of higher-dimensional static spherically symmetric traversable wormholes with phantom scalar fields, under specific conditions relating mass and scalar charge, expanding understanding of such exotic spacetime solutions.

Contribution

It establishes a uniqueness theorem for higher-dimensional phantom field wormholes, a novel result in the context of Einstein scalar field solutions.

Findings

Uniqueness of higher-dimensional wormholes proven

Conditions relating mass and scalar charge are crucial

Extends previous four-dimensional results to higher dimensions

Abstract

Based on the rigid positive energy theorem we proved the uniqueness of static spherically symmetric traversable wormholes with two asymptotically flat ends, being the higher-dimensional solutions of Einstein scalar phantom field. The proof is valid under the auxiliary condition imposed on wormhole mass and scalar charge.