Energy and Momentum of Bianchi TypeVIhUniverses

Abstract

We obtain the energy and momentum of the Bianchi typeVIhuniverses using different prescriptions for the energy-momentum complexes in the framework of general relativity. The energy and momentum of the BianchiVIhuniverses are found to be zero for the parameterh=-1of the metric. The vanishing of these results supports the conjecture of Tryon that the universe must have a zero net value for all conserved quantities. This also supports the work of Nathan Rosen with the Robertson-Walker metric. Moreover, it raises an interesting question: “Why is theh=-1case so special?”