Using Embedding Theorems to Account for the Extreme Properties of Traversable Wormholes

  • Peter K.F. Kuhfittig Department of Mathematics, Milwaukee School of Engineering, Milwaukee, Wisconsin 53202-3109, USA
Keywords: embedding theorems, properties of traversable wormholes


Embedding theorems, which have a long history in the general theory of relativity, are used in this paper to
account for two of the more 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.