Weyl Tensor Classification in Four-dimensional Manifolds of All Signatures

Details Weyl Tensor Classification in Four-dimensional Manifolds of All Signatures Weyl Tensor Classification in Four-dimensional Manifolds of All Signatures

2012-04-23

arxiv.org/abs/1204.5133v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages

Scientific paper

It is well known that the classification of the Weyl tensor in Lorentzian manifolds of dimension four, the so called Petrov classification, was a great tool to the development of general relativity. Here it is shown a classification for the Weyl tensor in all four-dimensional manifolds, including all signatures and the complex case, in an unified and simple way. The important Petrov classification then emerges just as a particular case in this scheme.

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