The center of mass in general relativity

Details The center of mass in general relativity The center of mass in general relativity

Apr 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979gregr..10..377s&link_type=abstract

General Relativity and Gravitation, vol. 10, Apr. 1979, p. 377-393.

Physics

26

Center Of Mass, Gravitation Theory, Quantum Theory, Relativity, Angular Momentum, Field Theory (Physics), Space-Time Functions, Tensor Analysis, Vector Spaces

Scientific paper

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.

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