Using embedding theorems to account for the extreme properties of traversable wormholes

TL;DR

This paper applies embedding theorems from general relativity to better understand the origin of exotic matter and the radial tension in traversable wormholes, offering new insights into their extreme properties.

Contribution

The paper introduces a novel approach using embedding theorems to explain the extreme features of wormholes without solely relying on exotic matter.

Findings

Embedding theorems help explain the origin of exotic matter.

Radial tension can be understood through geometric considerations.

Exotic matter may be less necessary than previously thought.

Abstract

Embedding theorems, which have a long history in the general theory of relativity, are used in this paper to account for two of the most troubling aspects of Morris-Thorne wormholes, (1) the origin of exotic matter and the amount needed to sustain a wormhole, and (2) the enormous radial tension that is characteristic of wormholes with moderately-sized throats. Attributing the latter to exotic matter ignores the fact that exotic matter was introduced for a completely different reason and is usually present in only small quantities.