Geometrical Significance of the Einstein-Maxwell Equations
- 15 May 1959
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 114 (4) , 1179-1181
- https://doi.org/10.1103/physrev.114.1179
Abstract
Rainich geometries are analyzed in terms of the invariants associated with the Ricci vierbein of principal directions. At any point the four unit vectors of the vierbein pair off into two blades which contain the maxima and minima directions of mean curvature, respectively. The blades can "mesh" into smooth integral surfaces for certain electromagnetic fields. In general, neighboring blades are shown to be related by only two independent differential conditions.Keywords
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