Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982ap%26ss..87..105b&link_type=abstract
Astrophysics and Space Science, vol. 87, no. 1-2, Oct. 1982, p. 105-116.
Astronomy and Astrophysics
Astrophysics
Cosmology, Covariance, Galactic Clusters, Gravitation Theory, Relativity, Stellar Motions, Gravitational Fields, Harmonic Analysis, Newton Theory
Scientific paper
Dirac's (1973) scale covariant theory of gravitation takes into account the possible relative changes in the system of units that are associated with different physical interactions, thereby representing a generalization of the General Relativity Theory. In this light, attention is given to the case of a weak gravitational field suited to the inner motions of a star or galaxy cluster in order to determine whether the post-Newtonian approximation scheme consistently fits into the scale covariant formalism. This task is found to be feasible when the gauge terms met in the field equation are appropriately treated, if the gauge or metrical connection vector is inversely proportional to cosmic time. This condition should follow from the outer boundary condition imposed on the solution of thy field equations which describe the Newtonian and the first non-Newtonian approximation.
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