Smooth metrics can hide thin shells

Author:

Justin C. Feng

Keyword:

General Relativity and Quantum Cosmology, General Relativity and Quantum Cosmology (gr-qc)

journal:

2023 Class. Quantum Grav. 40 197002

date:

2023-08-22 16:00:00

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.

PDF: Smooth metrics can hide thin shells.pdf