Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Structure formation in mimetic gravity   Mimetic theory of gravity was proposed as an alternative description for the
dark matter (DM) puzzle. It was argued that the mimetic field can encode a
dynamical longitudinal degree of freedom which can play the role of mimetic DM.
In this paper, we disclose the effects of an extra longitudinal degree of
freedom on the evolution of perturbations in the framework of mimetic gravity.
We consider a flat Friedmann-Robertson-Walker (FRW) background and explore the
linear perturbations by adopting the spherically symmetric collapse formalism.
By suitably choosing the potential of the mimetic field, we are able to solve
the perturbed field equations in the linear regime and derive the density
contrast $\delta_{m}$ in terms of the redshift parameter z. We observe that
$\delta_{m}$ starts growing from its initial value at the early stages of the
universe and as the universe expands, it grows slower compared to the standard
cosmology. This may due to the extra degree of freedom of the gravitational
field which affects the growth of perturbations. We then consider the effects
of this potential on the density abundance and the deceleration parameter. We
find out that mimetic potential can play the role of dark energy (DE) and
affects the dynamics of matter perturbations and cosmological parameters.

31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol