Liquid-Droplet model, a possible solution for the rotation curve problem

Details Liquid-Droplet model, a possible solution for the rotation curve problem Liquid-Droplet model, a possible solution for the rotation curve problem

2011-03-15

arxiv.org/abs/1103.3057v2

Astronomy and Astrophysics

Astrophysics

Galaxy Astrophysics

20 pages, Title changed

Scientific paper

A new model for the dynamical structure of galaxies is studied based on the so called {\it Liquid-Droplet} model describing the structure of the nucleus. It is argued that in the galactic scale the inverse squared law of long range gravitational interaction may be replaced by a new law of gravitational interaction which is effectively short range while representing the characteristic features of Mach principle. Application of this new interaction at galactic scale gives the rotation curve in good agreement with observations. Then, the Virial theorem for this kind of gravitational interaction is developed and also the Tully-Fisher relation is obtained. Finally, a physical explanation is given for the so called {\it constant} acceleration in the MOND as the {\it effective} gravitational strength of galaxies.

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