Type IV singular bouncing cosmology from f ( T ) Gravity

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We investigate bouncing scenario in the modified f(T ) gravity, T being the torsion scalar. Attention is attached to the reconstruction of f(T ) able to describe type IV singular bouncing evolution, where we adopt as assumption that the bouncing and type IV singularity points coincide. In the context of the reconstructed f(T ) model we calculate the Hubble slow-roll parameters in order to determine the dynamical evolution of the cosmological system under study. The results show that the Hubble slow-roll parameters become singular at the type IV singularity indicating a dynamical instability. Moreover we perform the stability analysis of the f(T ) gravity solution where, according to the obtained result, the type IV singularity point is a saddle point in agreement with the bounce scenario.
Bouncing cosmology [1–10] is an important way to solve initial singularity problem, which in the view of cosmological theories, is an undesirable characteristic. According to the bouncing cosmology the universe presents a contracted phase which ends up to a minimal radius, and after that starts an expanded phase. This means that the collapsing feature of the universe never occurs, reveling the impossibility of initial singularity.
Bouncing cosmology, torsion scalar
Logbo, P.H., Houndjo, M.J.S. (2018). Type IV singular bouncing cosmology from f ( T ) Gravity. Pg 1-9.