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.
Participating institutions:
Institute of Mathematics, Czech Academy of Sciences
Department of Mathematics and Natural Sciences, University of Stavanger, Norway
IM team members:
