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.

2 pages, fixed typo

References in corpus (1)

• Traversable wormholes: Some simple examples