English

Smooth metrics can hide thin shells

General Relativity and Quantum Cosmology 2023-09-07 v2

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.

Keywords

Cite

@article{arxiv.2308.11885,
  title  = {Smooth metrics can hide thin shells},
  author = {Justin C. Feng},
  journal= {arXiv preprint arXiv:2308.11885},
  year   = {2023}
}

Comments

2 pages, fixed typo

R2 v1 2026-06-28T12:02:07.985Z