Exact Solutions and Approximations of Mond Fields of Disk Galaxies

Details Exact Solutions and Approximations of Mond Fields of Disk Galaxies Exact Solutions and Approximations of Mond Fields of Disk Galaxies

1994-07-24

arxiv.org/abs/astro-ph/9407071v1

Astronomy and Astrophysics

Astrophysics

submitted to the Ap.J. , plain Tex, 12 pages, 3 figures (not included) a uuencoded compressed tar file of the paper with the f

Scientific paper

We Consider models of thin disks (with and without bulges) in the Bekenstein-Milgrom formulation of MOND as a modification of Newtonian gravity. Analytic solutions are found for the full gravitational fields of Kuzmin disks, and of disk-plus-bulge generalizations of them. For all these models a simple algebraic relation between the MOND potential field and the Newtonian potential holds everywhere outside the disk. We give exact expressions for the rotation curves for these models. We also find that the algebraic relation is a very good approximation for exponential disks. The algebraic relation outside the disk is then extended into the disk to derive an improved approximation for the MOND rotation curve of disk galaxies that requires only knowledge of the Newtonian curve and the surface density.

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