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arXiv · 1602.03013

Tryon's conjecture and Energy and momentum of Bianchi Type Universes

Prajyot Kumar Mishra·Bibhudatta Panda·Pradosh Ranjan Pattanayak·Sunil Kumar Tripathy
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Abstract

The energy and momentum of the Bianchi type $III$ universes are obtained using different prescriptions for the energy-momentum complexes in the framework of General Relativity. The energy and momentum of the Bianchi $III$ universe is found to be zero for the M\o{}ller prescription. For all other prescriptions the energy and momentum vanish when the metric parameter $h$ vanishes. In an earlier work, Tripathy et al. \cite{SKT15} have obtained the energy and momentum of Bianchi $VI_h$ metric and found that the energy of the Universe vanish only for $h=-1$. This result raised a question: why this specific choice?. We explored the Tryon's conjecture that 'the Universe must have a zero net value for all conserved quantities' to get some ideas on the specific values of this parameter for Bianchi type Universes.

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Prajyot Kumar Mishra, Bibhudatta Panda, Pradosh Ranjan Pattanayak, Sunil Kumar Tripathy. 2016-02-07. Tryon's conjecture and Energy and momentum of Bianchi Type Universes. https://arxiv.org/abs/1602.03013

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