On the Validity of the Definition of Angular Momentum in General Relativity

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• 作者：Po-Ning Chen ; Lan-Hsuan Huang ; Mu-Tao Wang ; Shing-Tung Yau
• 刊名：Annales Henri Poincare
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：17
• 期：2
• 页码：253-270
• 全文大小：547 KB
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• 作者单位：Po-Ning Chen (1)
  Lan-Hsuan Huang (2)
  Mu-Tao Wang (1)
  Shing-Tung Yau (3)
  
  1. Department of Mathematics, Columbia University, New York, NY, 10027, USA
  2. Department of Mathematics, University of Connecticut, Storrs, CT, 06269, USA
  3. Department of Mathematics, Harvard University, Cambridge, MA, 02138, USA
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mathematical and Computational Physics
  Dynamical Systems and Ergodic Theory
  Quantum Physics
  Mathematical Methods in Physics
  Relativity and Cosmology
  Elementary Particles and Quantum Field Theory
  
• 出版者：Birkh盲user Basel
• ISSN：1424-0661

文摘

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.