Angular and Linear Momentum in General Relativity: Their Geometric Structure and Interrelation

Details Angular and Linear Momentum in General Relativity: Their Geometric Structure and Interrelation Angular and Linear Momentum in General Relativity: Their Geometric Structure and Interrelation

2002-10-05

arxiv.org/abs/gr-qc/0210017v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages, 3 figures in GIF format

Scientific paper

Generalized definitions for angular and linear momentum are given and shown to reduce to the ADM (at spatial infinity) definitions and the definitions at null infinity in the appropriate limit. These definitions are used to express angular momentum in terms of linear momentum. The formalism allows one to see the connection with the classical and special relativitistic notions of momenta. Further, the techniques elucidate, for the first time, the geometric nature of these conserved quantities. The boosted Schwarzschild solution is used to illustrate some aspects. The definitions are useful and give insight in the region far from all masses where gravity waves are detected.

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