Notes on static cylindrical shells

TL;DR

This paper investigates static cylindrical shells composed of different matter types as sources for vacuum Levi-Civita metrics, relating their internal properties to external parameters and showing their total mass per unit length is always below 1/4.

Contribution

It provides a detailed analysis of the physical properties of cylindrical shells as sources of Levi-Civita metrics, establishing a relationship between internal matter characteristics and external metric parameters.

Findings

Total mass per unit length of shells is always less than 1/4.

Internal properties are related to the two key parameters of the external metrics.

Results are supported by illustrative figures.

Abstract

Static cylindrical shells made of various types of matter are studied as sources of the vacuum Levi-Civita metrics. Their internal physical properties are related to the two essential parameters of the metrics outside. The total mass per unit length of the cylinders is always less than 1/4. The results are illustrated by a number of figures.