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arXiv 1602.03013gr-qc
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Tryon猜想与Bianchi型宇宙的能量和动量

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

Prajyot Kumar Mishra, Bibhudatta Panda, Pradosh Ranjan Pattanayak, Sunil Kumar Tripathy

摘要:

在广义相对论的框架下,利用能量-动量复合体的不同规定,得到了Bianchi型$III$宇宙的能量和动量. Bianchi $III$宇宙的能量和动量在Møller公式下为零。对于所有其他处方,当度量参数$h$为零时,能量和动量为零。Tripathy等人在早期的工作中,\cite{SKT15}得到了Bianchi $VI_h$度规的能量和动量,并发现宇宙的能量只对$h=-1$消失。这一结果提出了一个问题:为什么要这样做?我们探讨了特赖恩猜想,“宇宙必须有一个零的净价值的所有守恒量”,以获得一些想法的具体值,这个参数的Bianchi型宇宙。

英文摘要:

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 Møller 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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