Abstract
We present a tachyonic field inflationary model in a teleparallel framework. We show that tachyonic coupled with the f(T) gravity model can describe the inflation era in which f(T) is an arbitrary function of torsion scalar T. For this purpose, dynamical behavior of the tachyonic field in different potentials is studied, it is shown that the tachyonic field with these potentials can be an effective candidate for inflation. Then, we discuss slow-roll conditions and show that by the appropriate choice of the parameters, the inflation era can be explained via this model. Finally, we argue that our model not only satisfies the result of BICEP2, Keck Array and Plank for the upper limit of r < .012 but also, the obtained value for spectral index n_{s} is compatible with the results of Plank and also Plank + WMAP + HighL + BAO at the 68% confidence level.
Highlights
According to the observations of WMAP [1] and Plank [2], the inflation era in the early universe is one of the most important parts of standard cosmology
I)f (φ) = 1: For a state in which there is no coupling between tachyonic field and torsion scalar, or f (φ) = 1, we can see that Eq (2.15) is simplified
We examined the tachyonic field in the framework of teleparallel gravity
Summary
According to the observations of WMAP [1] and Plank [2], the inflation era in the early universe is one of the most important parts of standard cosmology. For the different modes of coupling coefficient of the tachyonic field to teleparallel gravity, we draw a phase space diagram and give a physical interpretation. The tachyonic term in action (2.5) tends to zero For such a potential in the state of decreasing value of the field, we expect that this model results in an accelerated expanding period. We can draw a phase space diagram of this potential as follows As tachyonic potential in non-BPS D-brane in superstring theory, with the increasing the field value, we expect a positive acceleration period in this potential. The results of the dynamical behavior of these potentials are similar to what obtained for the potentials in non-BPS D-brane in superstring as well as the potentials found from Noether symmetry
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