Vector field and rotational curves in dark galactic halos

TL;DR

This paper proposes a non-gauge vector field model in a spherically symmetric static metric that explains flat galactic rotation curves and relates the rotation velocity to fundamental scales, providing insights into dark matter halos.

Contribution

It introduces a novel vector field configuration as a source of galactic gravitational effects, linking rotation velocities to fundamental physical scales and natural constants.

Findings

Reproduces flat rotation curves in dark galactic halos.

Relates rotation velocity to the hierarchy of the Planck mass and a high-energy scale.

Estimates Milgrom's acceleration consistent with Hubble rate.

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 time component about the Planck mass m_{Pl} 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 v_0 is determined by the hierarchy of scales: \sqrt{2} v_0^2= M/m_{Pl}, and M\sim 10^{12} GeV. A natural estimate of Milgrom's acceleration about the Hubble rate is obtained.