PreprintCC BY 4.0arXiv
Exact solutions of Maxwell vacuum equations in null homogeneous Petrov spaces with non-solvable motions groups
Abstract
A complete classification of exact solutions of Maxwell vacuum equations for invariant electromagnetic fields in null homogeneous Petrov spaces with unsolvable groups of motions G3, acting simply transitively on null hypersurfaces of null homogeneous Petrov spaces, is conducted. The classification of exact solutions of Maxwell vacuum equations is based on using the representation of components of the contravariant metric tensor and components of the invariant electromagnetic field in terms of vector fields of a canonical frame. The classification results are presented in a form convenient for further use.
Versions
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BibTeX
@misc{obukhov2026exact,
title = {{Exact solutions of Maxwell vacuum equations in null homogeneous Petrov spaces with non-solvable motions groups}},
author = {V. V. Obukhov},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.33613},
eprint = {2609.33613},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.33613},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Exact solutions of Maxwell vacuum equations in null homogeneous Petrov spaces with non-solvable motions groups
AU - V. V. Obukhov
PY - 2026
DA - 2026/09/27
PB - arXiv
DO - 10.48550/arxiv.2609.33613
UR - https://arxiv.org/abs/2609.33613
AB - A complete classification of exact solutions of Maxwell vacuum equations for invariant electromagnetic fields in null homogeneous Petrov spaces with unsolvable groups of motions G_3, acting simply transitively on null hypersurfaces of null homogeneous Petrov spaces, is conducted. The classification of exact solutions of Maxwell vacuum equations is based on using the representation of components of the contravariant metric tensor and components of the invariant electromagnetic field in terms of vector fields of a canonical frame. The classification results are presented in a form convenient for further use.
ER -