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arXiv · 1006.3926

Physical decomposition of the gauge and gravitational fields

Xiang-Song Chen·Ben-Chao Zhu
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Abstract

Physical decomposition of the non-Abelian gauge field has recently solved the two-decade-lasting problem of a meaningful gluon spin. Here we extend this approach to gravity and attack the century-lasting problem of a meaningful gravitational energy. The metric is unambiguously separated into a pure geometric term which contributes null curvature tensor, and a physical term which represents the true gravitational effect and always vanishes in a flat space-time. By this decomposition the conventional pseudo-tensors of the gravitational stress-energy are easily rescued to produce definite physical result. Our decomposition applies to any symmetric tensor, and has interesting relation to the transverse-traceless (TT) decomposition discussed by Arnowitt, Deser and Misner, and by York.

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Xiang-Song Chen, Ben-Chao Zhu. 2010-06-20. Physical decomposition of the gauge and gravitational fields. https://doi.org/10.1103/physrevd.83.084006

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