Dark matter explanation from quasi-metric gravity
The gravitational field of an isolated, axisymmetric flat disk of spinning dust is calculated approximatively in the weak-field limit of quasi-metric gravity. Boundary conditions single out the exponential disk as a “preferred” physical surface density profile. Moreover, collective properties of the disk, in the form of an extra “induced associated” surface density playing the role of “dark matter” also emerge. Taken as an idealized model of spiral galaxy thin disks, it is shown that including this “dark matter” into the model as a gravitating source yields asymptotically flat rotation curves and a correspondence with MOND.
KeywordsDark Matter Surface Density Rotation Curve Spiral Galaxy Lorentzian Manifold
- 3.D. Østvang, Doctoral thesis (NTNU, Trondheim, 2001) gr-qc/0111110Google Scholar
- 7.J. Binney, S. Tremaine, Galactic dynamics (Princeton University Press, Princeton, NJ, 1987)Google Scholar
- 8.M. Abramowitz, I.A. Stegun, Handbook of mathematical functions (Dover Publications Inc., New York, 1972)Google Scholar
- 9.A.J. Jerri, Integral and discrete transformations with applications and error analysis (Marcel Dekker Inc., New York, 1992)Google Scholar