Variable Modified Newtonian Mechanics from an interpolating metric II Galactic rotational curve.
We use an interpolating metric from a previous work \cite{wong} with a variable modified Newtonian potential (VMOND) to explore the issue of flatten rotational curve of a galaxy. We examine a model of a large protogalactic cloud with growing density perturbation, in which a central sphere collapses while the outer protogalaxy continues to grow until density perturbation reaches $O(1)$. This cloud then follows a Secondary Infall to collapse into a disk which will move towards the stellar disk. The resulting mass profile matches the mass to light ratio of the baryonic scaling model observations and the predicted rotational curve matches the Milky Way (MW) data.
Publisher URL: http://arxiv.org/abs/1802.01493
DOI: arXiv:1802.01493v2
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