Problems with wormholes which involve arbitrarily small amounts of exotic matter

Abstract

A quantum inequality bound on the expectation value of the null-contracted stress tensor in an arbitrary Hadamard state is used to obtain constraints on the geometries of traversable wormholes. Particular attention is given to the wormhole models of Visser, Kar, and Dadhich (VKD) and to those of Kuhfittig. These are models which use arbitrarily small amounts of exotic matter for wormhole maintenance. It is shown that macroscopic VKD models are either ruled out or severely constrained, while a recent model of Kuhfittig is shown to be, in fact, non-traversable.

6pp. Contribution to the Proceedings of EPS-13, Bern, 2005, based on gr-qc/0507013, but with additional remarks on gr-qc/0508060

References in corpus (1)

• Energy Inequalities in Quantum Field Theory

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• On a macroscopic traversable spacewarp in practice