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arXiv · 2212.13546

The Bel-Robinson tensor and the classical pseudotensors

Lau Loi So
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Abstract

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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Lau Loi So. 2022-12-27. The Bel-Robinson tensor and the classical pseudotensors. https://arxiv.org/abs/2212.13546

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