On the validity of the definition of angular momentum in general relativity

Po-Ning Chen Columbia University Lan-Hsuan Huang University of Connecticut Mu-Tao Wang Columbia University Shing-Tung Yau Harvard University

Mathematical Physics mathscidoc:1608.10019

Annales Henri Poincaré, 17, (2), 253–270, 2016.2
We exam the validity of the definition of the ADM angular momentum without the parity assumption. Explicit examples of asymptotically flat hypersurfaces in the Minkowski spacetime with zero ADM energy-momentum vector and finite non-zero angular momentum vector are presented. We also discuss the Beig-\'O Murchadha-Regge-Teitelboim center of mass and study analogous examples in the Schwarzschild spacetime
ADM angular momentum, general relativity, Schwarzschild spacetime
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@inproceedings{po-ning2016on,
  title={On the validity of the definition of angular momentum in general relativity},
  author={Po-Ning Chen, Lan-Hsuan Huang, Mu-Tao Wang, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160820151318292514323},
  booktitle={Annales Henri Poincaré},
  volume={17},
  number={2},
  pages={253–270},
  year={2016},
}
Po-Ning Chen, Lan-Hsuan Huang, Mu-Tao Wang, and Shing-Tung Yau. On the validity of the definition of angular momentum in general relativity. 2016. Vol. 17. In Annales Henri Poincaré. pp.253–270. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160820151318292514323.
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