Mathematics – Logic
Scientific paper
Feb 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...313....1k&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 313, Feb. 1, 1987, p. 1-12. NSF-supported research.
Mathematics
Logic
50
Cosmology, Dark Matter, Gravitational Fields, Mass Distribution, Mass To Light Ratios, Astronomical Models, Galactic Clusters, Galactic Rotation, Nonnewtonian Flow, Red Shift, Stellar Motions
Scientific paper
Experimental or observational tests of the 1/r-squared gravitational force law are weak or nonexistent at length scales beyond the solar system. This is because at long distances all astrophysical estimates of mass density based on dynamics give larger values than corresponding measurements based on observed luminosity and local mass-to-luminosity ratios. The discrepancy generally increases with increasing distance, from galactic lengths to at least cluster scales near 10 Mpc, and is usually interpreted as evidence for missing mass. From an empirical perspective that does not recognize the existence of dark matter unless it is nondynamically confirmed, it could be concluded that there are no significant constraints on possible spatial variations in Newton's constant at large distances. The implications of a simple force law correction to Newtonian gravity from planetary to cosmological distances are discussed.
Kruglyak L.
Kuhn Jeff R.
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