Computer Science
Scientific paper
Aug 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977gregr...8..595d&link_type=abstract
General Relativity and Gravitation, vol. 8, Aug. 1977, p. 595-601.
Computer Science
1
Gravitation Theory, Mass Distribution, Momentum Theory, Multipolar Fields, Relativity, Center Of Gravity, Density (Mass/Volume), Energy Distribution, Potential Energy, Space-Time Functions, Static Stability
Scientific paper
A mass skeleton is defined for a static extended body in a gravitational field. It is a scalar-valued distribution on a tangent space and is equivalent to that part of the reduced multipole moment structure which describes the mass density of the body. An explicit form is given for this distribution in terms of the mass density and the scalar potential of the field. It is deduced that the mass skeleton and the scalar potential are not completely independent. The smoothness of the mass distributions imposes certain weak restrictions on those scalar potentials which are compatible with a given mass skeleton.
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