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Traversable wormholes with arbitrarily small energy condition violations

Matt Visser·Sayan Kar·Naresh Dadhich
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Abstract

Traversable wormholes necessarily require violations of the averaged null energy condition; this being the definition of ``exotic matter''. However, the theorems which guarantee the energy condition violation are remarkably silent when it comes to making quantitative statements regarding the ``total amount'' of energy condition violating matter in the spacetime. We develop a suitable measure for quantifying this notion, and demonstrate the existence of spacetime geometries containing traversable wormholes that are supported by arbitrarily small quantities of ``exotic matter''.

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Matt Visser, Sayan Kar, Naresh Dadhich. 2003-04-23. Traversable wormholes with arbitrarily small energy condition violations. https://doi.org/10.1103/physrevlett.90.201102

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