Spacetime symmetries and the complexion of the electromagnetic field
- 1 February 1975
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 16 (2) , 345-346
- https://doi.org/10.1063/1.522548
Abstract
Considering spacetimes admitting groups of motions, we derive the symmetry imposed on the electromagnetic field for solutions to the Einstein−Maxwell equations. It is found that the scalar products between the gradient of the complexion and the Killing vectors must be constants and that these constants enter into the symmetry condition on the electromagnetic field. We therefore obtain a geometrical interpretation of the complexion in spacetimes having symmetries.Keywords
This publication has 3 references indexed in Scilit:
- The general solution to Einstein-Maxwell equations with plane symmetryJournal of Mathematical Physics, 1974
- The structure of groups of motions admitted by Einstein-Maxwell space-timesCommunications in Mathematical Physics, 1973
- Classical physics as geometryAnnals of Physics, 1957