Energy and Momentum of Bianchi Type VI h Universes

Abstract EN

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?”