Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Nature of Dark Matter   The observed strong dark-to-luminous matter coupling suggests the existence
of a some functional relation between visible and DM sources which leads to
biased Einstein equations. We show that such a bias appears in the case when
the topological structure of the actual Universe at very large distances does
not match properly that of the Friedman space. We introduce a bias operator
$\rho_{DM} = B \rho_{vis}$ and show that the simple bias function $b \~1/r^{2}$
(the kernel of $B$) allows to account for all the variety of observed DM halos
in astrophysical systems. In galaxies such a bias forms the cored DM
distribution with the radius $R_{C}\sim R_{opt}$ (which explains the recently
observed strong correlation between $R_{C}$ and $R_{opt}$), while for a point
source it produces the logarithmic correction to the Newton's potential (which
explains the observed flat rotation curves in spirals). Finally, we show that
in the theory suggested the galaxy formation process leads to a specific
variation with time of all interaction constants and, in particular, of the
fine structure constant.

9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas