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

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Abstract
We discuss Petrov type D Einstein-Maxwell (EM) 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 EM 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
general relativity, exact solutions, Einstein-Maxwell, Petrov type D, ELECTROVAC, SPACETIMES, EQUATIONS

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Citation

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MLA
Van den Bergh, Norbert, and John Carminati. “Non-Aligned Einstein-Maxwell Robinson-Trautman Fields of Petrov Type D.” CLASSICAL AND QUANTUM GRAVITY, vol. 37, no. 21, 2020, doi:10.1088/1361-6382/abbba3.
APA
Van den Bergh, N., & Carminati, J. (2020). Non-aligned Einstein-Maxwell Robinson-Trautman fields of Petrov type D. CLASSICAL AND QUANTUM GRAVITY, 37(21). https://doi.org/10.1088/1361-6382/abbba3
Chicago author-date
Van den Bergh, Norbert, and John Carminati. 2020. “Non-Aligned Einstein-Maxwell Robinson-Trautman Fields of Petrov Type D.” CLASSICAL AND QUANTUM GRAVITY 37 (21). https://doi.org/10.1088/1361-6382/abbba3.
Chicago author-date (all authors)
Van den Bergh, Norbert, and John Carminati. 2020. “Non-Aligned Einstein-Maxwell Robinson-Trautman Fields of Petrov Type D.” CLASSICAL AND QUANTUM GRAVITY 37 (21). doi:10.1088/1361-6382/abbba3.
Vancouver
1.
Van den Bergh N, Carminati J. Non-aligned Einstein-Maxwell Robinson-Trautman fields of Petrov type D. CLASSICAL AND QUANTUM GRAVITY. 2020;37(21).
IEEE
[1]
N. Van den Bergh and J. Carminati, “Non-aligned Einstein-Maxwell Robinson-Trautman fields of Petrov type D,” CLASSICAL AND QUANTUM GRAVITY, vol. 37, no. 21, 2020.
@article{8677288,
  abstract     = {We discuss Petrov type D Einstein-Maxwell (EM) 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 EM 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.},
  articleno    = {215010},
  author       = {Van den Bergh, Norbert and Carminati, John},
  issn         = {0264-9381},
  journal      = {CLASSICAL AND QUANTUM GRAVITY},
  keywords     = {general relativity,exact solutions,Einstein-Maxwell,Petrov type D,ELECTROVAC,SPACETIMES,EQUATIONS},
  language     = {eng},
  number       = {21},
  pages        = {16},
  title        = {Non-aligned Einstein-Maxwell Robinson-Trautman fields of Petrov type D},
  url          = {http://dx.doi.org/10.1088/1361-6382/abbba3},
  volume       = {37},
  year         = {2020},
}

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