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arXiv 1202.4768gr-qc
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Bianchi IX宇宙学模型中能量动量密度不同描述的几个例子

Some examples of different descriptions of energy-momentum density in the context of Bianchi IX cosmological model

Z. Nourinezhad, S. Hamid Mehdipour

摘要:

基于Bianchi IX型度规,我们计算了Tolman,Papapetrou,Landau-Lifshitz,Møller和Weinberg五种不同能量动量定义下的引力场的能量和动量密度分量.对于所考虑的时空,默勒和温伯格的能量密度变为零。在其他处方中,即,Tolman,Papapetrou和Landau-Lifshitz复形的非零能量-动量密度分布,证明了广义相对论中的一个著名论点:即使在相同的时空背景下,不同的定义也可能导致不同的分布。

英文摘要:

Based on the Bianchi type IX metric, we calculate the energy and momentum density components of the gravitational field for the five different definitions of energy-momentum, namely, Tolman, Papapetrou, Landau-Lifshitz, Møller and Weinberg. The energy densities of Møller and Weinberg become zero for the spacetime under consideration. In the other prescriptions, i.e., Tolman, Papapetrou and Landau-Lifshitz complexes, we find different non-vanishing energy-momentum densities for the given spacetime, supporting the well-known argument in General Relativity that the different definitions may lead to different distributions even in the same spacetime background.

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