Mathematics – Logic
Scientific paper
May 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011aas...21841003r&link_type=abstract
American Astronomical Society, AAS Meeting #218, #410.03; Bulletin of the American Astronomical Society, Vol. 43, 2011
Mathematics
Logic
Scientific paper
The MOdified Newtonian Dynamics (MOND) is one alternative to the dark matter assumption that can explain the observed flat rotation curve of galaxies. Here, spherically symmetrical hydrodynamic accretion in MOND regime is considered to critically check the consistency, and to constrain the physical interpretation of this theory. The modified Euler's equation has physical solution for modification of the law of dynamics, but has no solution for an acceleration-scale-dependent modification of the gravitational law. The astrophysical and cosmological implications of these results, pointing out a potential incompleteness of MOND, are presented in this work.
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