# Ghent University Academic Bibliography

### Algebraically special Einstein–Maxwell fields

(2017) 49(1).
abstract
The Geroch-Held-Penrose formalism is used to re-analyse algebraically special non-null Einstein-Maxwell fields, aligned as well as non-aligned, in the presence of a possible non-vanishing cosmological constant. A new invariant characterization is given of the Garc\'\i a-Pleba\'nski and Pleba\'nski-Hacyan metrics within the family of aligned solutions and of the Griffiths metrics within the family of the non-aligned solutions. As a corollary also the double alignment of the Debever-McLenaghan class $\mathcal{D}$' metrics with non-vanishing cosmological constant is shown to be equivalent with the shear-free and geodesic behavior of their Debever-Penrose vectors.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
Einstein-Maxwell, exact solutions, Goldberg-Sachs
journal title
GENERAL RELATIVITY AND GRAVITATION
editor
Roy Maartens
volume
49
issue
1
publisher
Springer
ISSN
0001-7701
1572-9532
DOI
10.1007/s10714-016-2171-x
language
English
UGent publication?
yes
classification
A2
id
8514524
handle
http://hdl.handle.net/1854/LU-8514524
alternative location
https://arxiv.org/abs/1605.05830
date created
2017-03-16 11:34:47
date last changed
2017-03-29 13:09:41
@article{8514524,
abstract     = {The Geroch-Held-Penrose formalism is used to re-analyse algebraically special non-null Einstein-Maxwell fields, aligned as well as non-aligned, in the presence of a possible non-vanishing cosmological constant. A new invariant characterization is given of the Garc{\textbackslash}'{\textbackslash}i a-Pleba{\textbackslash}'nski and Pleba{\textbackslash}'nski-Hacyan metrics within the family of aligned solutions and of the Griffiths metrics within the family of the non-aligned solutions. As a corollary also the double alignment of the Debever-McLenaghan class \${\textbackslash}mathcal\{D\}\$' metrics with non-vanishing cosmological constant is shown to be equivalent with the shear-free and geodesic behavior of their Debever-Penrose vectors.},
author       = {Van den Bergh, Norbert},
editor       = {Maartens, Roy and Ashtekar, Abhay},
issn         = {0001-7701},
journal      = {GENERAL RELATIVITY AND GRAVITATION},
keyword      = {Einstein-Maxwell,exact solutions,Goldberg-Sachs},
language     = {eng},
number       = {1},
publisher    = {Springer},
title        = {Algebraically special Einstein--Maxwell fields},
url          = {http://dx.doi.org/10.1007/s10714-016-2171-x},
volume       = {49},
year         = {2017},
}

Chicago
Van den Bergh, Norbert. 2017. “Algebraically Special Einstein–Maxwell Fields.” Ed. Roy Maartens and Abhay Ashtekar. General Relativity and Gravitation 49 (1).
APA
Van den Bergh, N. (2017). Algebraically special Einstein–Maxwell fields. (R. Maartens & A. Ashtekar, Eds.)GENERAL RELATIVITY AND GRAVITATION, 49(1).
Vancouver
1.
Van den Bergh N. Algebraically special Einstein–Maxwell fields. Maartens R, Ashtekar A, editors. GENERAL RELATIVITY AND GRAVITATION. Springer; 2017;49(1).
MLA
Van den Bergh, Norbert. “Algebraically Special Einstein–Maxwell Fields.” Ed. Roy Maartens & Abhay Ashtekar. GENERAL RELATIVITY AND GRAVITATION 49.1 (2017): n. pag. Print.