Matt, VisserKar, SayanDadhich, Naresh2012-03-122012-03-122011-07-05http://hdl.handle.net/11007/1186Traversable wormholes necessarily require violations of the averaged null energy condition; this being the definition of “exotic matter”. However, the theorems which guarantee the energy condi- tion 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 mea- sure for quantifying this notion, and demonstrate the existence of spacetime geometries containing traversable wormholes that are supported by arbitrarily small quantities of “exotic matter”.enLorentzian wormholesExotic matterArticle