Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Holographic dark energy models with statefinder diagnostic in modified
  $f(R,T)$ gravity   We study non-viscous and viscous holographic dark energy models for a
homogeneous and isotropic flat Friedmann-Robertson-Walker Universe in $f(R,T)$
gravity. We find that the Hubble horizon as an IR cut-off is suitable for both
the models to explain the recent accelerated expansion of the Universe. The
cosmological parameters like deceleration parameter and statefinder parameters
are discussed in each model. In non-viscous model a constant deceleration
parameter is found which shows that there is no phase transition. The
constraints on the parameters are obtained to analyse the fixed point values of
statefinder parameters of SCDM and $\Lambda$CDM models. We know that the phase
transition is required to explain the accelerated expansion of the Universe and
this is possible if both the parameters would be time-dependent. Therefore, we
extend our analysis to viscous holographic dark energy model to investigate
whether this viscous model with the same IR cut-off could be helpful to find
the phase transition. We find that this model gives a time-dependent
deceleration parameter which achieves a smooth phase transition of the
Universe. We also find the time-varying statefinder pair which matches with
$\Lambda$CDM model. We plot the trajectories in $r-s$ and $r-q$ plans to
discriminate our model with the existing dark energy models and obtain the
quintessence like behaviour for the suitable values of parameters.

15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph