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Title: Algebraic classification of the Weyl tensor: selected applications (English)
Author: Pravda, Vojtěch
Language: English
Journal: Applications of Mathematics 2012
Volume: Proceedings. Prague, May 2-5, 2012
Issue: 2012
Pages: 214-223
Category: math
Summary: Selected applications of the algebraic classification of tensors on Lorentzian manifolds of arbitrary dimension are discussed. We clarify some aspects of the relationship between invariants of tensors and their algebraic class, discuss generalization of Newman-Penrose and Geroch-Held-Penrose formalisms to arbitrary dimension and study an application of the algebraic classification to the case of quadratic gravity. (English)
Keyword: Lorentzian geometry
Keyword: Newman-Penrose
Keyword: Geroch-Held-Penrose
Keyword: Weyl tensor
Keyword: polynomial invariants
Keyword: algebraically special spacetimes
Keyword: quadratic gravity
MSC: 53A55
MSC: 53B30
MSC: 53B50
MSC: 83C20
MSC: 83C60
MSC: 83E99
idZBL: Zbl 1313.53029
idMR: MR3204413
Date available: 2017-02-14T09:02:52Z
Last updated: 2017-04-13
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