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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

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