A note on 4-dimensional traversable wormholes and energy conditions in higher dimensions

TL;DR

This paper demonstrates that higher-dimensional embeddings can render the stress-energy tensors of 4D traversable wormholes compliant with energy conditions, suggesting higher dimensions may enable wormhole and time-machine constructions without exotic matter.

Contribution

It shows that higher-dimensional embeddings can satisfy energy conditions for 4D traversable wormholes, easing the need for exotic matter in their construction.

Findings

Higher-dimensional embeddings satisfy energy conditions for wormholes.

Higher dimensions may facilitate wormhole and time-machine creation.

Stress-tensors obey reasonable energy conditions in higher dimensions.

Abstract

We show explicitly that traversable wormholes requiring exotic matter in 4-dimensions nevertheless have acceptable stress-tensors obeying reasonable energy conditions in higher dimensions if the wormholes are regarded as being embedded in higher dimensional space-times satisfying Einstein's field equations. From the 4-dimensional perspective, the existence of higher dimensions may thus facilitate wormhole and time-machine constructions through access to "exotic matter".