Traversable wormholes: minimum violation of null energy condition revisited

Abstract

It was argued in literature that traversable wormholes can exist with arbitrarily small violation of null energy conditions. We show that if the amount of exotic material near the wormhole throat tends to zero, either this leads to a horn instead of a wormhole or the throat approaches the horizon in such a way that infnitely large stresses develop on the throat.

12 pages. To appear in PRD

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• Thin-shell wormholes with a generalized Chaplygin gas in Einstein-Born-Infeld theory
• $f(R)$ gravity solutions for evolving wormholes
• Wormhole Solutions in Rastall Gravity Theory
• Cosmological wormholes
• Dilaton thin-shell wormholes supported by a generalized Chaplygin gas
• Thin-shell wormholes with a double layer in quadratic F(R) gravity
• Wormhole solutions with a polynomial equation-of-state and minimal violation of the null energy condition
• Asymptotically flat wormhole solutions with variable equation-of-state parameter
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• Existence of Wormholes in $f(\mathcal{G})$ Gravity using Symmetries
• New Traversable Wormholes Solutions in $f(T)$ Gravity
• Spherically symmetric wormhole solutions in a general anisotropic matter field
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• Non-exotic wormholes in 4-D Einstein-Gauss-Bonnet gravity
• Wormhole Formation with Gravitational Particle Creation Mechanism
• Casimir Wormholes in Brans-Dicke Theory
• Dynamical Wormhole Solutions in $f(R,T)$ Gravity
• Stability of spherical thin-shell wormholes in scalar-tensor theories
• Noncommutative geometry-inspired wormholes supported by quasi-de Sitter and Chaplygin-like equations of state