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

Abstract

Within the framework of Bianchi type-I spacetime we study the Bel–Robinson tensor and its impact on the evolution of the Universe. We use different definitions of the Bel–Robinson tensor existing in the literature and compare the results. Finally we investigate the so called "dominant super-energy property" for the Bel–Robinson tensor as a generalization of the usual dominant energy condition for energy momentum tensors.