The center of mass in general relativity
- Cite this article as:
- Schattner, R. Gen Relat Gravit (1979) 10: 377. doi:10.1007/BF00760221
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In Dixon's theory of the dynamics of extended bodies in metric theories of gravity, a definition of a center-of-mass line is proposed. We prove the existence and uniqueness of a zero-linear-momentum vector field. Using this vector field we show the existence of a center-of-mass line which is a smooth timelike curve contained in a convex hull of the world-tube of the body.