Original title:
Algebraic classification of the Weyl tensor : selected applications
Authors:
Pravda, Vojtěch Document type: Papers Conference/Event: Applications of Mathematics 2012, Prague (CZ), 2012-05-02 / 2012-05-05
Year:
2012
Language:
eng Abstract:
Selected applications of the algebraic classification of tensors on Lorentzian manifolds of arbitrary dimension are discussed. We clarify some aspects of the relationship between invariants of tensors and their algebraic class, discuss generalization of Newman-Penrose and Geroch-Held-Penrose formalisms to arbitrary dimension and study an application of the algebraic classification to the case of quadratic gravity.
Keywords:
algebraic classification; Einstein spacetimes 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