Algebraic classification of the Weyl tensor

Pravdová, Alena. "Algebraic classification of the Weyl tensor." Applications of Mathematics 2012. Prague: Institute of Mathematics AS CR, 2012. 224-235. <http://eudml.org/doc/287769>.

@inProceedings{Pravdová2012,
abstract = {Alignment classification of tensors on Lorentzian manifolds of arbitrary dimension is summarized. This classification scheme is then applied to the case of the Weyl tensor and it is shown that in four dimensions it is equivalent to the well known Petrov classification. The approaches using Bel-Debever criteria and principal null directions of the superenergy tensor are also discussed.},
author = {Pravdová, Alena},
booktitle = {Applications of Mathematics 2012},
keywords = {Weyl tensor; Lorentz manifolds; Einstein's field equations},
location = {Prague},
pages = {224-235},
publisher = {Institute of Mathematics AS CR},
title = {Algebraic classification of the Weyl tensor},
url = {http://eudml.org/doc/287769},
year = {2012},
}

TY - CLSWK
AU - Pravdová, Alena
TI - Algebraic classification of the Weyl tensor
T2 - Applications of Mathematics 2012
PY - 2012
CY - Prague
PB - Institute of Mathematics AS CR
SP - 224
EP - 235
AB - Alignment classification of tensors on Lorentzian manifolds of arbitrary dimension is summarized. This classification scheme is then applied to the case of the Weyl tensor and it is shown that in four dimensions it is equivalent to the well known Petrov classification. The approaches using Bel-Debever criteria and principal null directions of the superenergy tensor are also discussed.
KW - Weyl tensor; Lorentz manifolds; Einstein's field equations
UR - http://eudml.org/doc/287769
ER -