Static State of a Black Hole Supported by Dark Matter

Round 1

Reviewer 1 Report

  Dear All,

 The paper "Static state of a black hole supported by dark matter" by B.E.Meierovich represents very interesting and novel approach to the dark matter interaction with black holes. It is clearly written though some additional information on the assumed nature of dark matter would be useful. I recommend publishing this article after minor modifications though English and some figures should be improved (add titles to axes). Please see my specific comments below.

l.42: mean -> main

l.52-53: Please add a discussion or reference on why bosons would dominate at some stage of compression.

l.56: Does the degenerate Fermi gas here refer to dark matter or ordinary matter?

l.78 (eq 1): dx^02 -> (dx^0)^2

l.501: eq 50 should be eq 49.

l.508-510: It would be useful to add more discussion on the balance of the scalar field and longitudinal vector field. In particular should this balance lead to a dependence of local DM density on the black hole mass? Would it be possible to provide this dependence explicitly?

Figure 11 should be better quality.

l.581: There should be a discussion on comparison with other galaxies where the period of oscillations is different. How this could be reconciled with direct connection of the period of oscillations with DM particle mass? Also, given the DM particle mass is estimated to be ~10^-28eV they can't be fermions (that's a reason for the question on the Fermi gas above). The formation of dwarf galaxies requires much shorter De Broigle wavelength and therefore heavier DM particle masses. A discussion on this would be useful as well.

  Thanks,

      Reviewer

Author Response

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Author Response File: Author Response.pdf

Reviewer 2 Report

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Comments for author File: Comments.pdf

Author Response

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Author Response File: Author Response.pdf

Reviewer 3 Report

The paper presents an interestig hypothesis on the equilibrium state of a black hole interacting with dark matter. Before publication I suggest to discuss and fix two issues:

1) more details on the numerics would enhance the quality, e.g. Which methods have been used? What equations have been solved or propagated in detail? What about the numerical stability, see eq. 34? When are deviations expected from the approximate theoretical results?

2) the size and readability of the figures must be improved, in particular fig. 11 is a bad quality scan or is it new original data?

Author Response

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Author Response File: Author Response.pdf

Round 2

Reviewer 2 Report

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Comments for author File: Comments.pdf

Author Response

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Author Response File: Author Response.pdf

Round 3

Reviewer 2 Report

The explanations made by the author are satisfactory. I have yet some doubts concerning the interpretation of the configuration and its stability. However, in order to clarify these points, new analysis are required which may be outside the purposes of the present work.

I recommend the publication of the article.