On the validity of the definition of angular momentum in general relativity
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🧮 math.DG
gr-qc
keywords
angularmomentumdefinitionexamplesspacetimevalidityvectoranalogous
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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.
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