Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cosmological evolutions in Tsujikawa model of $f(R)$ Gravity   We concentrate on the cosmological properties in the Tsujikawa model (TM) of
viable $f(R)$ gravity with the dynamical background evolution and linear
perturbation theory by using the CosmoMC package. We study the constraints of
the cosmological variables along with the model parameter from the current
observational data. In particular, we show that the matter density fluctuation
is suppressed and the constraint of the neutrino mass sum is relaxed in the TM,
which are similar to other viable $f(R)$ models. In addition, we discuss the
parameters of the deceleration and equation of state for dark energy in the TM
and compare them with those in the $\Lambda$CDM model.

6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int