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Abstract
We study equations of a non-gauge vector field in a spherically symmetric static metric. The constant vector field with a scale arrangement of components, the temporal component about the Planck mass mPl and the radial component about M suppressed with respect to the Planck mass, serves as a source of metric reproducing flat rotation curves in dark halos of spiral galaxies, so that the velocity of rotation v0 is determined by the hierarchy of scales: , and M ∼ 1012 GeV. A natural estimate of Milgrom's acceleration about the Hubble rate is obtained.
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