Inflation without self-reproduction and scalar field role in inflationary exit within covariant f(T) theory of gravity

The present investigation involves some features of inflation paradigm in a covariant f(T) theory of gravity. We explore in its first part, the inflationary conditions proposed by Mukhanov for the resolution of self-reproduction which occurs with quantum fluctuations amplified during inflation. In such study, the problems of multiverse, predictability and initial condition are automatically approached. Following a reconstruction method initiated by the duo Nodjiri–Odintsov and taking into account the realities of the modified theory of gravity f(T) with T the scalar torsion, we perform some f(T) inflationary models able to reproduce the inflation without self-reproduction. Secondly, within dynamical approach in a de Sitter evolution, the role of scalar field in the exit from inflation description through the f(T) theory is provided and the results not only confirm those existed in literature but also give best fit with observational data.