EinsteinMaxwell spacetimes with symmetries and with nonnull electromagnetic fields
Abstract
General properties of solutions (g, F) of the EinsteinMaxwell field equations are discussed, whereg is a metric tensor andF is a nonnull Maxwell field. In particular the case is discussed whereg admits a Killing vector fieldv with special emphasis on the case wherev is not admitted byF, i.e., the electromagnetic field does not have a symmetry of the metric tensor. An example is given of a solution (g, F) in whichg admits a hypersurface orthogonal Killing vector not admitted byF.
 Publication:

General Relativity and Gravitation
 Pub Date:
 April 1978
 DOI:
 10.1007/BF00760422
 Bibcode:
 1978GReGr...9..277M
 Keywords:

 Einstein Equations;
 Field Theory (Physics);
 Relativity;
 SpaceTime Functions;
 Electromagnetic Fields;
 Tensors;
 Vectors (Mathematics);
 Astrophysics