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Article

Title: Algebraic classification of the Weyl tensor (English)
Author: Pravdová, Alena
Language: English
Journal: Applications of Mathematics 2012
Volume: Proceedings. Prague, May 2-5, 2012
Issue: 2012
Year:
Pages: 224-235
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Category: math
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Summary: Alignment classification of tensors on Lorentzian manifolds of arbitrary dimension is summarized. This classification scheme is then applied to the case of the Weyl tensor and it is shown that in four dimensions it is equivalent to the well known Petrov classification. The approaches using Bel-Debever criteria and principal null directions of the superenergy tensor are also discussed. (English)
Keyword: Weyl tensor
Keyword: Lorentz manifolds
Keyword: Einstein's field equations
MSC: 35Q76
MSC: 53C50
idZBL: Zbl 1313.53081
idMR: MR3204414
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Date available: 2017-02-14T09:03:10Z
Last updated: 2017-04-13
Stable URL: http://hdl.handle.net/10338.dmlcz/702908
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