论文标题

Bel-Robinson张量和古典伪转化器

The Bel-Robinson tensor and the classical pseudotensors

论文作者

So, Lau Loi

论文摘要

描述重力能量和动量,Bel-Robinson Tensor是最好的张量。但是,经典的伪转化器也可以管理同一工作。正如Deser在1999年提到的那样,Einstein Pseudotensor和Landau-Lifshitz Pseudoetnsor之间的某种线性组合给出了纯的Bel-Robinson Tensor。在这里,我们使用了相同的想法,但是改编了谐波仪表,我们发现所有古典伪音速器都不能给出Bel-Robinson Tensor的倍数。但是在修改下,所有这些都与Bel-Robinson Tensor相同的能量弹药和应力贡献了。

Describing the gravitational energy and momentum, the Bel-Robinson tensor is the best tensor. However, the classical pseudotensors can also manage the the same job. As Deser mentioned in 1999, a certain linear combination between Einstein pseudotensor and Landau-Lifshitz pseudoetnsor give a pure Bel-Robinson tensor. Here we used the same idea but adapted the harmonic gauge, we found that all the classical pseudotensor alone cannot give a multiple of the Bel-Robinson tensor. But under a modification, all of them contribute the same energy-momentum and stress as the Bel-Robinson tensor does.

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