Jj. Ferrando et Ja. Saez, A COVARIANT DETERMINATION OF THE WEYL CANONICAL FRAMES IN PETROV TYPE-I SPACETIMES, Classical and quantum gravity, 14(1), 1997, pp. 129-138
A covariant algorithm is given to obtain principal 2-forms, Debever nu
ll directions and canonical frames associated with Petrov type I Weyl
tensors. The relationship between these Weyl elements is explained, an
d their explicit expressions depending on Weyl invariants are obtained
. These results are used to determine a cosmological observer in type
I universes, and their usefulness in spacetime intrinsic characterizat
ion is shown.