1204.5133 (Carlos Batista)

Weyl Tensor Classification in Four-dimensional Manifolds of All
Signatures    [PDF]

Carlos Batista

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.

View original: http://arxiv.org/abs/1204.5133