Energy and momentum of bianchi type VI h universes

Abstract

We obtain the energy and momentum of the Bianchi type V I h universes using different prescriptions for the energy-momentum complexes in the framework of general relativity. The energy and momentum of the Bianchi V I h universes are found to be zero for the parameter h = - 1 of 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 the h = - 1 case so special?"