Symmetries of the Einstein-Maxwell Equations

Publisher Website
Google Scholar
Abstract
Space‐time symmetries admissible according to the Einstein‐Maxwell equations are analyzed from the standpoint of the groups of motions in Rainich geometry. Necessary and sufficient conditions for a motion are expressed in terms of the Ricci vierbein of principal directions. Normal Rainich geometries, for which the Ricci congruences are orthogonal to four sets of hypersurfaces, are studied in some detail. First integrals to the Rainich conditions are presented for the latter class of geometries. A new solution to the Einstein‐Maxwell equations is derived in the form of a spatially homogeneous Rainich geometry.