Traversable Lorentzian Wormholes

An overview of the history and relevance of wormholes is given. Morris and Thorne’s description of a traversable wormhole is revisited, and the requirement for exotic matter is derived. The null, weak, strong, dominant, averaged null, averaged weak, and averaged strong energy conditions and the ways that traversable wormholes violate them is discussed. The connection between topological censorship and the averaged null energy condition is shown, with the result that wormholes are not topologically censored. The existence of a method for extracting a sufficient amount of exotic matter from the vacuum stress energy to build a wormhole with an arbitrarily large throat is proven. The connection between wormholes and time machines is explored, and how theorems related to closed timelike curves (chronology protection) or global hyperbolicity (cosmic censorship) might prevent their creation. Finally, it is stated how physical theories might be reconciled to the notion of traversable Lorentzian wormholes.

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