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Three-dimensional spacetimes of maximal order

R Milson and Lode Wylleman (UGent)
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Abstract
We show that the equivalence problem for three-dimensional Lorentzian manifolds requires at most the fifth covariant derivative of the curvature tensor. We prove that this bound is sharp by exhibiting a class of 3D Lorentzian manifolds which realize this bound. The analysis is based on a three-dimensional analogue of the Newman-Penrose formalism, and spinorial classification of the three-dimensional Ricci tensor.
Keywords
SPINOR, 3-DIMENSIONAL SPACETIMES, CURVATURE HOMOGENEITY, KARLHEDE CLASSIFICATION

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Citation

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

MLA
Milson, R, and Lode Wylleman. “Three-dimensional Spacetimes of Maximal Order.” CLASSICAL AND QUANTUM GRAVITY 30.9 (2013): n. pag. Print.
APA
Milson, R., & Wylleman, L. (2013). Three-dimensional spacetimes of maximal order. CLASSICAL AND QUANTUM GRAVITY, 30(9).
Chicago author-date
Milson, R, and Lode Wylleman. 2013. “Three-dimensional Spacetimes of Maximal Order.” Classical and Quantum Gravity 30 (9).
Chicago author-date (all authors)
Milson, R, and Lode Wylleman. 2013. “Three-dimensional Spacetimes of Maximal Order.” Classical and Quantum Gravity 30 (9).
Vancouver
1.
Milson R, Wylleman L. Three-dimensional spacetimes of maximal order. CLASSICAL AND QUANTUM GRAVITY. 2013;30(9).
IEEE
[1]
R. Milson and L. Wylleman, “Three-dimensional spacetimes of maximal order,” CLASSICAL AND QUANTUM GRAVITY, vol. 30, no. 9, 2013.
@article{5639313,
  abstract     = {We show that the equivalence problem for three-dimensional Lorentzian manifolds requires at most the fifth covariant derivative of the curvature tensor. We prove that this bound is sharp by exhibiting a class of 3D Lorentzian manifolds which realize this bound. The analysis is based on a three-dimensional analogue of the Newman-Penrose formalism, and spinorial classification of the three-dimensional Ricci tensor.},
  articleno    = {095004},
  author       = {Milson, R and Wylleman, Lode},
  issn         = {0264-9381},
  journal      = {CLASSICAL AND QUANTUM GRAVITY},
  keywords     = {SPINOR,3-DIMENSIONAL SPACETIMES,CURVATURE HOMOGENEITY,KARLHEDE CLASSIFICATION},
  language     = {eng},
  number       = {9},
  pages        = {25},
  title        = {Three-dimensional spacetimes of maximal order},
  url          = {http://dx.doi.org/10.1088/0264-9381/30/9/095004},
  volume       = {30},
  year         = {2013},
}

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