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Conformally 2+2-decomposable perfect fluid space-times with constant curvature factor manifolds

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Abstract
Conformally 2 + 2-decomposable non-conformally flat spacetimes, which are the solutions of the Einstein field equations with a perfect fluid source, are discussed. These spacetimes are necessarily of Petrov-type D and, when the fluid velocity is aligned with the plane of principal null directions, form a subset of the LRSII class, determined up to two first-order partial differential equations. When, on the contrary, the fluid is non-aligned, the general solution can be given in terms of elementary functions.
Keywords
perfect fluid, Einstein field equations, decomposable space-time, Petrov-type

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Citation

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

Chicago
Van den Bergh, Norbert. 2012. “Conformally 2+2-decomposable Perfect Fluid Space-times with Constant Curvature Factor Manifolds.” Classical and Quantum Gravity 29 (23).
APA
Van den Bergh, N. (2012). Conformally 2+2-decomposable perfect fluid space-times with constant curvature factor manifolds. CLASSICAL AND QUANTUM GRAVITY, 29(23).
Vancouver
1.
Van den Bergh N. Conformally 2+2-decomposable perfect fluid space-times with constant curvature factor manifolds. CLASSICAL AND QUANTUM GRAVITY. 2012;29(23).
MLA
Van den Bergh, Norbert. “Conformally 2+2-decomposable Perfect Fluid Space-times with Constant Curvature Factor Manifolds.” CLASSICAL AND QUANTUM GRAVITY 29.23 (2012): n. pag. Print.
@article{3082267,
  abstract     = {Conformally 2 + 2-decomposable non-conformally flat spacetimes, which are the solutions of the Einstein field equations with a perfect fluid source, are discussed. These spacetimes are necessarily of Petrov-type D and, when the fluid velocity is aligned with the plane of principal null directions, form a subset of the LRSII class, determined up to two first-order partial differential equations. When, on the contrary, the fluid is non-aligned, the general solution can be given in terms of elementary functions.},
  articleno    = {235003},
  author       = {Van den Bergh, Norbert},
  issn         = {0264-9381},
  journal      = {CLASSICAL AND QUANTUM GRAVITY},
  keyword      = {perfect fluid,Einstein field equations,decomposable space-time,Petrov-type},
  language     = {eng},
  number       = {23},
  pages        = {10},
  title        = {Conformally 2+2-decomposable perfect fluid space-times with constant curvature factor manifolds},
  url          = {http://dx.doi.org/10.1088/0264-9381/29/23/235003},
  volume       = {29},
  year         = {2012},
}

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