Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compatibility between the scalar field models of tachyon, $k$-essence
  and quintessence in $f(R, T)$ gravity   We investigate the behavior of the scalar field in $f (R, T )$ gravity (Harko
et al., Phys. Rev. D 84, 024020, 2011) inside the structure of a flat FRW
cosmological model, where $R$ and $T$ have their usual meaning. The
deterministic solution of FEs has been settled by considering the scale factor
$S(t) = t^{m}e^{kt}$, where $m$ and $k$ are positive constant. Here we utilize
three ongoing imperatives ($H_{0}=73.8$ and $ q_{0}=-0.73$) from SNe Ia Union
observation (Cunha, Phys. Rev. D 79, 047301, 2009); ($H_{0}=73.8$ and $
q_{0}=-0.55$) from Type Ia Supernova (SNIa) observation in joined with (BAO)
and (CMB) observation (Giostri et al., J. Cosmol. Astropart. Phys. 03, 027,
2012); and ($H_{0}=69.2$ and $q_{0}=-0.52)$ from (OHD+JLA) observation (Yu et
al., Astrophys. J. 856, 3, 2018). We have measured and graphed several
cosmological parameters and found that these findings are appropriate in
comparison with the universe's physical and kinematic properties and also
compatible with ongoing observations. The correspondence between the scalar
field models of tachyon, k-essence, and quintessence is investigated by us. Our
model explains the potentials and the dynamics of the scalar fields in the FRW
universe. The reconstructed potential is very sensible and has a scaling
arrangement. Subsequently, our study supports recent observations.

26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph