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Smooth metrics can hide thin shells

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arxiv 2308.11885 v2 pith:FZG6V4RN submitted 2023-08-23 gr-qc

Smooth metrics can hide thin shells

classification gr-qc
keywords componentsmetricmetricsshellssmooththinappearclass
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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.

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