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Grant M100191201     1.7.2012 - 30.6.2015
Grantor: Academy of Sciences of the Czech Republic

Algebraic classification of tensors on Lorentzian manifolds and its applications

Objectives:
We will  search for exact vacuum solutions of generalized theories of gravity using the algebraic classification of tensors and the generalization of the Geroch-Held-Penrose formalism to higher dimensions co-developed by our department. Particular focus is on so called universal solutions –  vacuum solutions to all theories of gravity derived from the Lagrangian constructed from the metric, the Riemann tensor and its arbitrary covariant derivatives. Another objective is to develop a refinement of the algebraic classifications of tensors in five dimensions.

 Main investigator:

Pravda Vojtěch

 IM team members:  
Ortaggio Marcello
Pravdová Alena
 Participating institutions:

Institute of Mathematics, Czech Academy of Sciences
Department of Mathematics and Natural Sciences, University of Stavanger, Norway