Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interacting Tsallis and R\'enyi Holographic Dark Energy with Hybrid
  Expansion Law   The manuscript presents the dynamics of Tsallis holographic dark energy
(THDE) and R\'enyi holographic dark energy (RHDE) prescribed by a non-linear
interaction in the FRW spacetime and for a scale factor evolving with a
composite power law-exponential (hybrid) form. To construct the energy
densities of these holographic dark energy models, I assume the Hubble cutoff
to be the IR limit. I find that the deceleration parameter undergoes a
signature flipping at a redshift $z$ consistent with observations. The EoS
parameter $\omega_{de}$ for both the HDE models exhibit quite contrasting
dynamical behavior despite assuming values close to $-1$ at $z=0$ and therefore
consistent with current observations. Next, I find the squared sound speed
$c_{s}^{2}$ to be positive for the THDE model ensuring stability against
perturbations, whereas for the RHDE model, $c_{s}^{2}<0$ implying instability
against perturbations. Furthermore, I analyzed the evolutionary behavior of the
EoS parameter of the HDE models by constructing the
$\omega_{de}-\omega_{de}^{'}$ plane and find that the plane lies in the
freezing region for the THDE model and in the thawing region for the RHDE
model.

29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph