KALUZA-KLEIN DESCRIPTION OF THE ELECTRICAL-FIELD DUE TO AN INFINITELYLONG, STRAIGHT-LINE CHARGE

Authors
Citation
O. Gron et P. Odegaard, KALUZA-KLEIN DESCRIPTION OF THE ELECTRICAL-FIELD DUE TO AN INFINITELYLONG, STRAIGHT-LINE CHARGE, General relativity and gravitation, 26(1), 1994, pp. 53-60
Citations number
12
Categorie Soggetti
Physics
ISSN journal
00017701
Volume
26
Issue
1
Year of publication
1994
Pages
53 - 60
Database
ISI
SICI code
0001-7701(1994)26:1<53:KDOTED>2.0.ZU;2-K
Abstract
It is shown that according to the Kaluza-Klein theory the electromagne tic scalar potential is equal to the angular velocity of the rotationa l inertial dragging effect in five-dimensional space-time. The gravita tional vacuum field equations for a five-dimensional space-time outsid e a rotating cylindrical shell are solved. The angular velocity of the inertial dragging field outside the shell is determined in terms of t he angular momentum of the shell by means of Israel's geometric descri ption of surface layers in general relativity. Projecting the solution into four-dimensional space-time, the inertial dragging field due to the rotation of the shell is interpreted as an electrical field. We co njecture that according to the Kaluza-Klein theory all electromagnetic phenomena are four-dimensional manifestations of the five-dimensional inertial dragging effect.