Smooth metrics can hide thin shells

Abstract

In this note, I consider a class of metric tensors with smooth components that naively appear to describe dynamical wormholes with vanishing spacetime curvature. I point out that the smoothness of the metric tensor components is deceptive, and that in general relativity, such metrics must be sourced by exotic thin shells.

arXiv comment2 pages, fixed typo

References in corpus (4)

• Traversable wormholes: Some simple examples
• Quantum Dynamics of Lorentzian Spacetime Foam
• Defect wormhole: A traversable wormhole without exotic matter
• Is Quantum Spacetime Foam Unstable?

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• A five-dimensional vacuum-defect wormhole space-time
• The spacetime geodesy of perfect fluid spheres
• The emergent Big Bang scenario