Einstein-Maxwell space-times with symmetries and with non-null electromagnetic fields
Abstract
General properties of solutions (g, F) of the Einstein-Maxwell field equations are discussed, whereg is a metric tensor andF is a non-null 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;
- Space-Time Functions;
- Electromagnetic Fields;
- Tensors;
- Vectors (Mathematics);
- Astrophysics