Energy and momentum of Bianchi Type VI_h Universes

TL;DR

This paper calculates the energy and momentum of Bianchi Type VI_h universes using various prescriptions in general relativity, finding they vanish for h=-1, supporting the zero-energy universe conjecture and raising questions about this special case.

Contribution

It provides a comparative analysis of energy-momentum complexes for Bianchi VI_h universes, highlighting the unique case of h=-1 with zero total energy and momentum.

Findings

Energy and momentum are zero for h=-1.

Supports the zero-energy universe hypothesis.

Raises questions about the significance of h=-1 case.

Abstract

We obtain the energy and momentum of the Bianchi type VI_h universes using different prescriptions for the energy-momentum complexes in the framework of general relativity. The energy and momentum of the Bianchi VI_h universe are found to be zero for the parameter h = -1 of the metric. The vanishing of these results support the conjecture of Tryon that 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 h=-1 case is so special?"