On the dark matter's halo theoretical description
L. M. Chechin

TL;DR
This paper proposes a new scalar field potential to better model dark matter halos, successfully fitting dwarf galaxy rotation curves and offering a novel method for estimating galaxy masses.
Contribution
It introduces a simple central symmetric potential for scalar fields that improves dark matter profile modeling and mass estimation in dwarf galaxies.
Findings
Successfully fits dwarf galaxy rotation curves
Aligns with previous N-body simulation results
Provides a new method for galaxy mass estimation
Abstract
We argued that the standard field scalar potential couldn't be widely used for getting the adequate galaxies' curve lines and determining the profiles of dark matter their halo. For discovering the global properties of scalar fields that can describe the observable characteristics of dark matter on the cosmological space and time scales, we propose the simplest form of central symmetric potential celestial - mechanical type, i.e. U(\phi) = -\mu/\phi. It was shown that this potential allows get rather satisfactorily dark matter profiles and rotational curves lines for dwarf galaxies. The good agreement with some previous results, based on the N-body simulation method, was pointed out. A new possibility of dwarf galaxies' masses estimation was given, also.
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