Tachyonization cosmological model in the framework of linear form-invariance transformations
DOI:
https://doi.org/10.31489/2021No3/93-100Keywords:
tachyon field, form-invariance transformations, equation of state, barotropic index, state finder parameters, deceleration parameter.Abstract
This work dedicated to the investigation cosmological models based on tachyon field. It was showed that Einstein’s field equations for spatially flat, homogeneous and isotropic Friedman-Robertson-Walker space-time have form-invariance of symmetry, obtained by form-invariance of transformations. The form-invariance of transformations is specified in the general case by the linear function ρ ̅=n^2 ρ, and in particular, we investigate for n=-1. The tachyonization of the cosmological model was made for the entire range of values of the barotropic index γ. For the power-law function of the scale factor, a method for obtaining the potential and the function of the tachyon field was shown. The resulting potential is equivalent to the potential used in string theory.
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