Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inflationary scenario driven by type IV singularity in $f(T)$ gravity   In this paper, we investigate the effects of Type IV singularity through
$f(T)$ gravity description of inflationary universe, where $T$ denotes the
torsion scalar. With the Friedmann equations of the theory, we reconstruct a
$f(T)$ model according to a given Hubble rate susceptible to describe the
inflationary era near the type IV singularity. Moreover, we calculate the
Hubble flow parameters in order to determine the dynamical evolution of the
cosmological system. The results show that some of the Hubble flow parameters
are small near the Type IV singularity and become singular at Type IV
Singularity, indicating that a dynamical instability of the cosmological system
occurs a that point. This means that the dynamical cosmological evolution up to
that point, ceases to be the final attractor since the system is abruptly
interrupted. Furthermore, by considering the $f(T)$ trace anomaly equation and
the slow-roll conditions, we deal with the de Sitter inflationary description
of the reconstructed model. As results, the model leads to a conditional
instability, view as the source of the graceful exit from inflation. Our
theoretical $f(T)$ description based on slow-roll parameters not only confirms
some observational data on spectral index and the scalar-to-tensor ratio from
Planck data and BICEP$2$/Keck-Array data, but also shows the property of $f(T)$
gravity in describing the early and late-time evolution of our universe.

36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph