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2 453 (0,196s)

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The Weyl tensors

The Weyl tensors are described.

BA - Obecná matematika

  • 2003
  • Jx
Result

On the classification of the Weyl tensor in higher dimensions

We overview recently developed algebraic classification of the Weyl tensor in arbitrary dimension and discuss various applications.

BA - Obecná matematika

  • 2006
  • D
Result

Classification of the Weyl tensor in higher dimensions

We discuss the algebraic classification of the Weyl tensor in higher-dimensional Lorentzian manifolds. This is done by characterizing algebraically special Weyl tensors by means of the existence of aligned null vec...

BA - Obecná matematika

  • 2004
  • Jx
Result

Classification of the Weyl tensor in higher dimensions and its applications

The algebraic classification of the Weyl tensor in higher dimensions is a natural generalization of the Petrov classification in four dimensions. We overview basic properties of the classification and discuss various applications....

BA - Obecná matematika

  • 2008
  • D
Result

Spacetimes of Weyl and Ricci type N in higher dimensions

null direction of the Weyl tensor (WAND) in spacetimes of Weyl and Ricci type N prove that a type N Ricci tensor and a type III or N Weyl tensor have to be aligned. In such spacetimes, the multip...

BA - Obecná matematika

  • 2016
  • Jx
  • Link
Result

Bel-Debever criteria for the classification of the Weyl tensors in higher dimensions

An extension to higher dimensions of the Bel-Debever characterization of the Weyl tensor is considered, which determines the Weyl type in a frame independent way. We further comment on a Cartan-like geometrical interpretati...

BA - Obecná matematika

  • 2009
  • Jx
Result

Emerging electric or magnetic parts of Weyl tensor

topological approach to the emergent electric or magnetic parts associated to the Weyl tensor. The working hypothesis in this study is that the electric or magnetic parts of the Weyl tensor are the dimensions of t...

Astronomy (including astrophysics,space science)

  • 2024
  • Jimp
  • Link
Result

Algebraic classification of the Weyl tensor

Alignment classi?cation of tensors on Lorentzian manifolds of arbitrary dimension is summarized. This classi?cation scheme is then applied to the case of the Weyl tensor and it is shown that in four dimensions it is equival...

BA - Obecná matematika

  • 2012
  • D
Result

Connection Between Horizons and Algebraic Type

We study connections between both event and quasilocal horizons and the algebraic type of the Weyl tensor. The relation regarding spacelike future outer trapping horizon is analysed in four dimensions using double-null foliation....

BE - Teoretická fyzika

  • 2014
  • D
  • Link
Result

On canonical almost geodesic mappings which preserve the weyl projective tensor

We study a partial case of canonical almost geodesic mappings of the first type of spaces with affine connection that preserve Weyl projective curvature tensor and certain other tensors. Main equations under consideration a...

Pure mathematics

  • 2017
  • JSC
  • Link
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