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Grantor: Academy of Sciences of the Czech Republic

**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:

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