On the validity of the definition of angular momentum in general relativity
Differential Geometry
2014-09-18 v2 General Relativity and Quantum Cosmology
Abstract
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.
Keywords
Cite
@article{arxiv.1401.0597,
title = {On the validity of the definition of angular momentum in general relativity},
author = {Po-Ning Chen and Lan-Hsuan Huang and Mu-Tao Wang and Shing-Tung Yau},
journal= {arXiv preprint arXiv:1401.0597},
year = {2014}
}
Comments
References are updated, and typos and computational errors are corrected. Accepted by Ann. Henri Poincare