Inflationary scenario driven by type IV singularity in $f(T)$ gravity

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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.