Abstract
The constant-roll inflation is studied where the inflaton is taken as a tachyon field. Since in this approach the second slow-roll parameter is assumed to be of order one instead of being small, then the perturbation parameters will be considered again. The results are compared with observational data, and it is confirmed that the model could stand as a proper candidate for inflation.
Highlights
Guth’s proposal in 1981 for solving the problem of the big bang theory is one of the best candidates for describing the Universe’s evolution in its earliest time [1]
Tachyon inflation was studied in constant-roll scenario where the second order of the slow-roll parameter is assumed as a constant. This choice leads to a nonlinear differential equation for the Hubble parameter, and it complicity form forced us to solve it numerically
Since this constant taken for the second slow-roll parameter could be of order unity, one should reinvestigate the cosmological perturbations of the model
Summary
Guth’s proposal in 1981 for solving the problem of the big bang theory is one of the best candidates for describing the Universe’s evolution in its earliest time [1]. A more generalized case has been considered in [42], where instead of assuming a constant for η, it was taken as equal to a smooth function of the scalar field Such a model is addressed as smooth-roll inflation in [42,43,44]. Since it is assumed that inflation may be caused by a scalar field (inflaton) with negative pressure and because of the fact that there is no reason not to take the inflaton as tachyon field, tachyon inflation becomes an interesting topic amongst physicists [49,50,51,52] This huge interest in tachyon slow-roll inflation motivate us to consider the scenario of tachyon inflation for a more generalized case.
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