Involutive preMaxwellian structures in general relativity
Abstract
Conditions are stated under which a structure (M, g, F, L), where M is a fourdimensional differentiable manifold, g a Lorentz metric, F a regular 2form on M, and L a tensor field of prescribed type, is preMaxwellian and involutive. A theorem is proved stating that if a structure is involutive preMaxwellian, then there exists an Abelian group G2 of isometries which is also involutive. The results enable a statement on the form of the type D solutions of the MaxwellEinstein equations with cosmological constant and nonsingular electromagnetic field at coincidence.
 Publication:

Bulletin de l'Academie Royale de Belgique
 Pub Date:
 1976
 Bibcode:
 1976BARB...62..662D
 Keywords:

 Cosmology;
 Maxwell Equation;
 Metric Space;
 Relativity;
 Conformal Mapping;
 Einstein Equations;
 Manifolds (Mathematics);
 Matrices (Mathematics);
 Tensors;
 Wave Equations;
 Physics (General)