Physical decomposition of the gauge and gravitational fields
arXiv:1006.3926 · doi:10.1103/PhysRevD.83.084006
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.
11 pages, no figure; significant revision, with discussion on relations of various metric decompositions
References in corpus (5)
- Reply to the Comment on "Spin and orbital angular momentum in gauge theories: Nucleon spin structure and multipole radiation revisited" [PRL 100:232002 (2008)]
- Spin and orbital angular momentum in gauge theories: Nucleon spin structure and multipole radiation revisited
- Quasilocal mass in general relativity
- Do gluons carry half of the nucleon momentum?
- The true radiation gauge for gravity