Notes on static cylindrical shells

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.

14 pages, 8 figures

References in corpus (3)

• On the interpretation of cylindrically symmetric Levi-Civita spacetime for 0<sigma<infinity
• Absence of trapped surfaces and singularities in cylindrical collapse
• Charged perfect fluid and scalar field coupled to gravity

Cited by in corpus (18)

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• Stationary Cylindrical Anisotropic Fluid
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• A charged rotating cylindrical shell
• Quantum Detection of Conicity
• Static Cylindrical Matter Shells
• A New Class of Accelerating Black Hole Solutions
• Thought Experiments on Gravitational Forces
• Comments on photonic shells
• Multiple Photonic Shells Around a Line Singularity
• The Torqued Cylinder and Levi-Civita's metric
• Relativistic Solenoids
• Topological Solution to the Cylindrical Einstein-Maxwell Equations
• Geodesic structure of the cosmological Levi-Civita spacetimes
• Relativistic Bessel Cylinders
• Report on workshop A1: Exact solutions and their interpretation