English

Non-aligned Einstein-Maxwell Robinson-Trautman fields of Petrov type D

General Relativity and Quantum Cosmology 2020-10-28 v1

Abstract

We discuss Petrov type D Einstein-Maxwell fields in which both double null eigenvectors of the Weyl tensor are non-aligned with the eigenvectors of a non-null electromagnetic field and are assumed to be geodesic, shear-free, diverging and non-twisting. We obtain the general solution of the Einstein-Maxwell equations under the extra condition that the complex null vectors of the Weyl canonical tetrad are hypersurface orthogonal. The corresponding space-times are all conformally related to a Killing-Yano space and are described by a 5-parameter family of metrics, admitting two commuting Killing vectors and having the C-metric as a possible vacuum limit.

Keywords

Cite

@article{arxiv.2009.11516,
  title  = {Non-aligned Einstein-Maxwell Robinson-Trautman fields of Petrov type D},
  author = {Norbert Van den Bergh and John Carminati},
  journal= {arXiv preprint arXiv:2009.11516},
  year   = {2020}
}

Comments

14 pages, accepted in Class. Quantum Grav

R2 v1 2026-06-23T18:45:38.736Z