Algebraic classification of the Weyl tensor : selected applications

0376778 - MÚ 2013 RIV CZ eng C - Conference Paper (international conference)
Pravda, Vojtěch
Algebraic classification of the Weyl tensor : selected applications.
Proceedings of the International Conference Applications of Mathematics 2012. Prague: Institute of Mathematics AS CR, 2012 - (Brandts, J.; Chleboun, J.; Korotov, S.; Segeth, K.; Šístek, J.; Vejchodský, T.), s. 214-223. ISBN 978-80-85823-60-8.
[Applications of Mathematics 2012. Prague (CZ), 02.05.2012-05.05.2012]
R&D Projects: GA ČR GAP203/10/0749
Institutional support: RVO:67985840
Keywords : Einstein spacetimes * algebraic classification
Subject RIV: BA - General Mathematics
http://www.math.cas.cz/~am2012/proceedings/contributions/pravda.pdf

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.
Permanent Link: http://hdl.handle.net/11104/0209094