Electric currents in multiply connected spaces
type: Item
instance of: scholarly article
title: Electric currents in multiply connected spaces
zbMATH Open document ID: 0672.53058
DOI: 10.1007/BF00669440
author: Theodore Frankel
published in: International Journal of Theoretical Physics
publication date: 1988-01-01T00:00:00Z
review text: Electric currents are considered within the framework of electromagnetism (electric fields solving Maxwell's equations) in a space-time of the form \({\mathbb{R}}\times V^ 3\). Theorem 1: No current flux through a closed 2- sided surface whose area is bounded in time, can be maintained for an infinite time. Theorem 2: Let space-time be a conformally static universe, and let C be a spatial wire loop that has zero intersection number with every closed 2-sided surface in the spatial section V. Then a current in C can be maintained for the lifetime of the universe. - Thus it depends on the topology of space whether one can maintain a current in any wire loop.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 55N45
Mathematics Subject Classification ID: 78A25
zbMATH DE Number: 4100123
zbMATH Keywords: Electric currents
zbMATH Keywords: space-time
zbMATH Keywords: current flux
zbMATH Keywords: 2-sided surface
zbMATH Keywords: infinite time
zbMATH Keywords: conformally static universe
zbMATH Keywords: intersection number
reviewed by: Dieter Erle
MaRDI profile type: Publication
cites work: Q3862696
description: scientific article; zbMATH DE number 4100123