Statistics – Computation
Scientific paper
Nov 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gregr..16.1103n&link_type=abstract
General Relativity and Gravitation (ISSN 0001-7701), vol. 16, Nov. 1984, p. 1103-1118.
Statistics
Computation
28
Computational Astrophysics, Gravitational Fields, Relativity, Stress Tensors, Galaxies, Macroscopic Equations, Minkowski Space, Nonrelativistic Mechanics, Stellar Gravitation
Scientific paper
The macroscopic stress-energy tensor of an astronomical 'medium' such as a galaxy of stars is determined by the field equation of general relativity from the small-scale variations in mass and velocity. In the weak-field, slow-motion approximation, in which the gravitational fields of the stars are Newtonian, it is found that the contribution by the small-scale gravitational fields to the macroscopic density and stress are, respectively, the Newtonian gravitational energy density and the Newtonian gravitational stress tensor. This result is based on the general-relativity field equation, not conservation laws, although the general-relativity field equation has the well-known property of being consistent with conservation laws.
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