Energy and momentum of Bianchi type \(\mathrm{VI}_h\) universes (Q2363070)

Summary: We obtain the energy and momentum of the Bianchi type \(\mathrm{VI}_h\) universes using different prescriptions for the energy-momentum complexes in the framework of general relativity. The energy and momentum of the Bianchi \(\mathrm{VI}_h\) 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?''