Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Abundance and evolution of galaxy clusters in cosmological models with
  massive neutrino   The time evolution of the number density of galaxy clusters and their mass
and temperature functions are used to constrain cosmological parameters in the
spatially flat dark matter models containing a fraction of hot particles
(massive neutrino) additional to cold and baryonic matter. We test the modified
MDM models with cosmic gravitational waves and show that they neither pass the
cluster evolution test nor reproduce the observed height of the first acoustic
peak in $\Delta T/T$ spectrum, and therefore should be ruled out. The models
with a non-zero cosmological constant are in better agreement with
observations. We estimate the free cosmological parameters in $\Lambda$MDM with
a negligible abundance of gravitational waves, and find that within the
parameter ranges $h\in (0.6, 0.7)$, $n\in (0.9, 1.1)$, (i) the value of
$\Omega_\Lambda$ is strongly affected by a small fraction of hot dark matter,
$f_\nu\equiv\Omega_\nu /\Omega_m\in (0, 0.2)$: $0.45 <\Omega_\Lambda <0.7$
($1\sigma$ CL), and (ii) the redshift evolution of galaxy clusters alone
reveals the following explicit correlation between $\Omega_\Lambda$ and
$f_\nu$: $\Omega_\Lambda +0.5f_\nu =0.65\pm 0.1$. The present accuracy of
observational data allows only to bound the fraction of hot matter, $f_\nu\in
(0, 0.2)$ (the number of massive neutrino species remains undelimited, $N_\nu
=1, 2, 3$).

37
The categories of this paper are: supr-con
2
The categories of this paper are: math
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci