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

2014/01/03 by Chen, Po-Ning, Huang, Lan-Hsuan, Wang, Mu-Tao +1
#Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.1401.0597

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-Ó Murchadha-Regge-Teitelboim center of mass and study analogous examples in the Schwarzschild spacetime.

Related

• Angular and Linear Momentum in General Relativity: Their Geometric Structure and Interrelation
• Unambiguous angular momentum of radiative spacetimes and asymptotic structure in terms of the center of mass system
• ADM, BMS, and some puzzling interconnections
• Angular momentum in the teleparallel equivalent of general relativity
• Energy, momentum, and center of mass in general relativity