Other
Scientific paper
May 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...372..471c&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 372, May 10, 1991, p. 471-477.
Other
13
Galactic Rotation, Gravitational Effects, Newton Theory, Spiral Galaxies, Stability, Astronomical Models, Computerized Simulation, Cosmology, Galactic Structure
Scientific paper
Three proposed non-Newtonian dynamical theories seem to explain 'naturally' the flat rotation curves of spiral galaxies without assuming the existence of a massive but nonluminous 'dark halo' component surrounding the disks of these galaxies. Apart from the two already well-known theories of modified gravity advanced by Milgrom (1983) and Tohline (1983) Mannheim and Kazanas (1989) have proposed yet another theory that strives to explain the dynamics of galaxies and clusters of galaxies as simply due to the existence of a long-range, constant-magnitude force. Assuming, however, that such forces may really exist, the fundamental problem of the stability of self-gravitating, cold (rapidly rotating) disks to nonaxisymmetric perturbations must be investigated. An 'N-body' computer code is used to perform a stability analysis of all the above theories. The results agree with previous studies of cold, self-gravitating disks with Newtonian and 1/r force laws (unstable to a barlike distortion and stable, respectively). Disks with a long-range force of constant magnitude are also stable and, in agreement with the prediction of Milgrom (1989), disks under the action of a force law of the modified Newtonian dynamics type make the transition to stability as the modified Newtonian dynamics force begins to dominate everywhere over the purely Newtonian force. Apparently, the present results cannot be used either in favor or against any of the proposed theories of modified gravity.
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