On stability of galactic disks in the modified dynamics and the distribution of their mean surface brightness

Details On stability of galactic disks in the modified dynamics and the distribution of their mean surface brightness On stability of galactic disks in the modified dynamics and the distribution of their mean surface brightness

Mar 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...338..121m&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 338, March 1, 1989, p. 121-127. Research supported by the Minerva Gesellsch

Astronomy and Astrophysics

Astrophysics

29

Brightness Distribution, Galactic Structure, Stability, Mass Distribution, Poisson Equation, Vlasov Equations, Wentzel-Kramer-Brillouin Method

Scientific paper

The stability of the disk component of galaxies in modified dynamics (MOND) is examined. The equations that govern the development of linear instabilities in MOND are developed, showing that they become, after rescaling, independent of the mean acceleration of the disk in the asymptotic limit of small accelerations. A preliminary stability analysis is given in the WKB approximation, which yields the modified Toomre criterion for local stability in MOND; then, the stability to global modes of isodynamic disk is discussed. It is found that a disk is more stable according to MOND if its mean acceleration is of order or smaller than the acceleration constant. The added degree of stability is limited. The main reason for the increase in stability is the slower relative rate with which acceleration increases with attracting mass in MOND; this leads to a weaker response of the gravitational field to a perturbation in the mass distribution.

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