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dc.contributorVirginia Tech
dc.contributor.authorDebney, G.
dc.date.accessioned2014-04-09T18:12:18Z
dc.date.available2014-04-09T18:12:18Z
dc.date.issued1974-07
dc.identifier.citationDebney, G., "expansion-free electromagnetic solutions of Kerr-Schild class," J. Math. Phys. 15, 992 (1974); http://dx.doi.org/10.1063/1.1666784
dc.identifier.issn0022-2488
dc.identifier.urihttp://hdl.handle.net/10919/47042
dc.description.abstractStarting with the general Kerr_Schild form of the metric tensor,d s2=_+l_l (where l is null and _ is flat space_time), a study is made for those solutions of the Einstein_Maxwell equations in which l is geodesic, shear_free, and expansion_free. It is shown that all resulting solutions must be of Petrov type [4] or type [_] and the Maxwell field must be null. Because of the expansion_free assumption there exist flat and conformally flat gauge conditions on all metrics in this class; i.e., there exist metrics of this Kerr_Schild form which are flat (or conformally flat) but are not Lorentz_related. A method is given for obtaining meaningful solutions to the field equations with the latter gauge equivalence class removed. A simple example of a radiative field of type [4] along a line singularity exhibits how solutions in this class may be generated.
dc.language.isoen_US
dc.publisherAIP Publishing
dc.subjectmaxwell equations
dc.subjecttensor methods
dc.titleexpansion-free electromagnetic solutions of Kerr-Schild class
dc.typeArticle
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/15/7/10.1063/1.1666784
dc.date.accessed2014-03-20
dc.title.serialJournal of Mathematical Physics
dc.identifier.doihttps://doi.org/10.1063/1.1666784


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