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

Published 3 Jan 2014 in math.DG and gr-qc | (1401.0597v2)

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.

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