Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From neutron stars to quark stars in mimetic gravity   Realistic models of neutron and quark stars in the framework of mimetic
gravity with Lagrange multiplier constraint are presented. We discuss the
effect of mimetic scalar aiming to describe dark matter on mass-radius relation
and the moment of inertia for slowly rotating relativistic stars. The
mass-radius relation and moment of inertia depend on the value of mimetic
scalar in the center of star. This fact leads to the ambiguity in the
mass-radius relation for a given equation of state. {Such ambiguity allows to
explain some observational facts better than in standard General Relativity}.
The case of two mimetic potentials namely $V(\phi)\sim A\phi^{-2}$ and
$V(\phi)\sim Ae^{B\phi^{2}}$ is considered in detail. The relative deviation of
maximal moment of inertia is approximately twice larger than the relative
deviation of maximal stellar mass. We also briefly discuss the mimetic $f(R)$
gravity. In the case of $f(R)=R+aR^2$ mimetic gravity it is expected that
increase of maximal mass and maximal moment of inertia due to mimetic scalar
becomes much stronger with bigger parameter $a$. The contribution of scalar
field in mimetic gravity can lead to possible existence of extreme neutron
stars with large masses.

16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph