Uniqueness of higher-dimensional Einstein-Maxwell-phantom dilaton wormholes

TL;DR

This paper proves the uniqueness of higher-dimensional static spherically symmetric traversable wormholes with two flat ends, based on Einstein-Maxwell-phantom dilaton field equations, using the conformal positive energy theorem.

Contribution

It establishes a uniqueness theorem for higher-dimensional wormholes with arbitrary dilaton coupling, extending previous results to more general field configurations.

Findings

Uniqueness of static spherically symmetric wormholes proven

Applicable to arbitrary dilaton coupling constants

Utilizes conformal positive energy theorem for proof

Abstract

The uniqueness of static spherically symmetric traversable wormholes with two asymptotically flat ends, subject to the higher-dimensional solutions of Einstein-Maxwell-phantom dilaton field equations was proved. We considered the case of an arbitrary dilaton coupling constant. Conformal positive energy theorem plays the key role in the considerations.