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Within the framework of Bianchi type-I space-time we study the Bel-Robinsontensor and its impact on the evolution of the Universe. We use differentdefinitions of the Bel-Robinson tensor existing in the literature and comparethe results. Finally we investigate the so called "dominant super-energyproperty" for the Bel-Robinson tensor as a generalization of the usual dominantenergy condition for energy momentum tensors.  Keywords: Bianchi type I model, super-energy tensors  Pacs: 03.65.Pm and 04.20.HaComment: 15 pages, revised version, no figure

BEL–ROBINSON TENSOR AND DOMINANT ENERGY PROPERTY IN THE BIANCHI TYPE I UNIVERSE