Classification of electromagnetic fields in general relativity and its physical applications

  • Nikolai V. Mitskievich
  • Published 2008


The simplest electromagnetic fields’ (generalas well as special-relativistic) classification is formulated which is based on physically motivated ideas. According to this classification these fields can belong to three types (electric, magnetic and null), each of them being split in pure and impure subtypes. Only pure null type field propagates with the fundamental velocity c, all other fields have the propagation velocity less than that of light. The reference-frame-based methods of elimination of alternative three-fields (e.g., magnetic in the electric type case) are given for pure subtypes; for pure null type the generalized Doppler effect takes place instead. All three types of impure fields are shown to be E-B-parallelizable. Thus such an elimination in pure non-null and parallelization in all impure cases mean transformation to the reference frame co-moving with the electromagnetic field in which the Poynting vector vanishes. The methods we propose modernizing the Rainich–Misner–Wheeler approach, also permit to construct new exact Einstein–Maxwell solutions from already known seed solutions. As examples, the Kerr–Newman and Liénard–Wiechert solutions are considered, three “new” types of rotating charged black holes (with the same Kerr-Newman geometry) are presented, and new physical effects are evaluated. PACS 2008 Numbers: 04.20-q, 04.20.Ex, 04.40.Nr, 04.70.Bw Physics Department, CUCEI, University of Guadalajara, Guadalajara, Jal., Mexico. Postal address: Apartado Postal 1-2011, C.P. 44100, Guadalajara, Jalisco, México. E-mail:

Cite this paper

@inproceedings{Mitskievich2008ClassificationOE, title={Classification of electromagnetic fields in general relativity and its physical applications}, author={Nikolai V. Mitskievich}, year={2008} }