Po-Ning Chen, Lan-Hsuan Huang, Mu-Tao Wang, Shing-Tung Yau
Published 2014-01-03, updated 2014-09-17Version 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.
Comments: References are updated, and typos and computational errors are corrected. Accepted by Ann. Henri Poincare
Differential geometry and general relativity with algebraifolds
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Groupoid symmetry and constraints in general relativity
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