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The role tachyon fields may play in evolution of early universe is discussed   in this paper. We consider the evolution of a flat and homogeneous universe   governed by a tachyon scalar field with the DBI-type action and calculate the   slow-roll parameters of inflation, scalar spectral index (n), and   tensor-scalar ratio (r) for the given potentials. We pay special attention to   the inverse power potential, first of all to V (x) ~ x−4, and compare the   available results obtained by analytical and numerical methods with those   obtained by observation. It is shown that the computed values of the   observational parameters and the observed ones are in a good agreement for   the high values of the constant X0. The possibility that influence of the   radion field can extend a range of the acceptable values of the constant X0   to the string theory motivated sector of its values is briefly considered.   [Projekat Ministarstva nauke Republike Srbije, br. 176021, br. 174020 i br.   43011

Dynamics of tachyon fields and inflation - comparison of analytical and numerical results with observation