Abstract
Viability of the super inflation scenario is discussed in F(T) modified teleparallel gravity. We calculate the power spectrum of the primordial curvature and tensor perturbations, and we derive two important parameters corresponding to these perturbations, i.e., spectral index parameter n_{s} and scalar-to-tensor ratio r. We observe that the super inflation scenario provides a nearly scale invariant power spectrum of scalar and tensor perturbations in the observational bounds of n_{s} and r, according to choosing the proper values interval of the power-term of the scale factor, asim t^{h}.
Highlights
The inflation scenario [1,2,3], which is supported by observational data [4], is appeared as a successful mechanism which describes the the early-time evolution of the universe. This scenario working at the high energy densities of the universe is generally described by a scalar field which is minimal coupled with gravity, whose potential function is nearly a flat form
When the scalar field slowly exhibits a motion on the flat-potential hill, the universe inflates exponentially, which this results an accelerated expansion case
We observe that the super inflation scenario provides a nearly scale invariant power spectrum of scalar and tensor perturbations in the observational bounds of ns and r [4]
Summary
The inflation scenario [1,2,3], which is supported by observational data [4], is appeared as a successful mechanism which describes the the early-time evolution of the universe This scenario working at the high energy densities of the universe is generally described by a scalar field which is minimal coupled with gravity, whose potential function is nearly a flat form. We examine the super inflation scenario in the context of F(T ) gravity theory. This gravity theory, which is formed by tetrad fields eμA [17] instead of metric tensor gμν , was developed as an alternative theory to the standard Einstein’s gravity. Friedmann Eqs. (6), (7) can be re-constructed by using the following notation[16]
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