Derivation of Magnetized-Wire Metrics in 5-Dimensional General Relativity

Details Derivation of Magnetized-Wire Metrics in 5-Dimensional General Relativity Derivation of Magnetized-Wire Metrics in 5-Dimensional General Relativity

Oct 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003gregr..35.1799w&link_type=abstract

General Relativity and Gravitation, v. 35, Issue 10, p. 1799-1813 (2003).

Computer Science

Scientific paper

An infinite class of magnetized line-source (wire) metrics are here derived within the 5D GR (`Kaluza-Klein') formalism. These metrics are cylindrically-symmetric (thus representing line-sources), and off-diagonal (thereby representing magnetized wire sources). The off-diagonality of these metrics is significant as all prior cylindrically-symmetric 5D GR metrics have been diagonal. In Kaluza-Klein theory, the vector potentials of EM are incorporated into the extended off-diagonal components of the metric. Thus, examination of such off-diagonal line source (magnetized wire) metrics is a hitherto untapped potential for 5D GR investigation.

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