Comments on "Remarks on the spherical scalar field halo in galaxies"

TL;DR

This paper critiques a previous work on scalar field dark matter halos, identifying a key mistake in the tangential pressure profile that affects the accuracy of the model, especially for larger integration constants.

Contribution

It provides a correction to the pressure profile in the scalar field dark matter model and discusses the impact of this correction on the model's parameters.

Findings

Incorrect pressure profile leads to overestimation of w(r) for large D

Corrected profile aligns better with expected physical behavior

Mistake does not significantly affect results for small D

Abstract

We comment on the general solution of the scalar field dark matter provided in the paper "Remarks on the spherical scalar field halo in galaxies" by Kamal K. Nandi, Ildar Valitov and Nail G. Migranov. The authors made a mistake in the general form of the tangential pressure profile p_t(r), which deviates from the correct profile, especially when r is small. Although this mistake does not alter significantly the value of w(r) when the integration constant D is small, we found that it does result in an overestimate of w(r) when D is large.