A class of axisymmetric stationary exact solutions of EinsteinMaxwell equations
Abstract
EinsteinMaxwell vacuum field equations of an axially symmetric stationary charged rotating source are studied. A class of asymptotically flat solutions representing the exterior field of a stationary rotating charged oblate spheroidal source is obtained. By examining eigenvectors of the Einstein tensor, certain Riemann invariants, and Petrov's classification of Weyl's conformal curvature tensor, it is proved that the metric potentials describe null electromagnetic fields.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 March 1979
 DOI:
 10.1088/03054470/12/3/014
 Bibcode:
 1979JPhA...12..383P
 Keywords:

 Einstein Equations;
 Field Theory (Physics);
 Invariance;
 Maxwell Equation;
 SpaceTime Functions;
 Asymptotic Series;
 Conformal Mapping;
 Eigenvectors;
 Electric Fields;
 Electromagnetic Fields;
 Partial Differential Equations;
 Symmetry;
 Tensors;
 Astrophysics