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Rotating solenoidal perfect fluids of Petrov type D

Norbert Van den Bergh (UGent) and Lode Wylleman (UGent)
(2009) CLASSICAL AND QUANTUM GRAVITY. 26(2). p.025009-1-025009-11
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Abstract
We prove that aligned Petrov type D perfect fluids for which the vorticity vector is not orthogonal to the plane of repeated principal null directions and for which the magnetic part of the Weyl tensor with respect to the fluid velocity has vanishing divergence, are necessarily purely electric or locally rotationally symmetric. The LRS metrics are presented explicitly.
Keywords
general relativity, rotating fluids

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Citation

Please use this url to cite or link to this publication:

Chicago
Van den Bergh, Norbert, and Lode Wylleman. 2009. “Rotating Solenoidal Perfect Fluids of Petrov Type D.” Classical and Quantum Gravity 26 (2): 025009–1–025009–11.
APA
Van den Bergh, N., & Wylleman, L. (2009). Rotating solenoidal perfect fluids of Petrov type D. CLASSICAL AND QUANTUM GRAVITY, 26(2), 025009–1–025009–11.
Vancouver
1.
Van den Bergh N, Wylleman L. Rotating solenoidal perfect fluids of Petrov type D. CLASSICAL AND QUANTUM GRAVITY. Bristol, England: IOP Publishing; 2009;26(2):025009–1–025009–11.
MLA
Van den Bergh, Norbert, and Lode Wylleman. “Rotating Solenoidal Perfect Fluids of Petrov Type D.” CLASSICAL AND QUANTUM GRAVITY 26.2 (2009): 025009–1–025009–11. Print.
@article{662430,
  abstract     = {We prove that aligned Petrov type D perfect fluids for which the vorticity vector is not orthogonal to the plane of repeated principal null directions and for which the magnetic part of the Weyl tensor with respect to the fluid velocity has vanishing divergence, are necessarily purely electric or locally rotationally symmetric. The LRS metrics are presented explicitly.},
  author       = {Van den Bergh, Norbert and Wylleman, Lode},
  issn         = {0264-9381},
  journal      = {CLASSICAL AND QUANTUM GRAVITY},
  language     = {eng},
  number       = {2},
  pages        = {025009-1--025009-11},
  publisher    = {IOP Publishing},
  title        = {Rotating solenoidal perfect fluids of Petrov type D},
  url          = {http://dx.doi.org/10.1088/0264-9381/26/2/025009},
  volume       = {26},
  year         = {2009},
}

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