Original title:
Algebraic classification of the Weyl tensor
Authors:
Pravdová, Alena Document type: Papers Conference/Event: Applications of Mathematics 2012, Prague (CZ), 2012-05-02 / 2012-05-05
Year:
2012
Language:
eng 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.
Keywords:
algebraic classification of tensors; Lorentzian manifolds Project no.: GAP203/10/0749 (CEP) Funding provider: GA ČR Host item entry: Proceedings of the International Conference Applications of Mathematics 2012, ISBN 978-80-85823-60-8