Tachyonization Cosmological Model in the Framework of Linear Form-Invariance Transformations


Razina O.V. Tsyba P.Yu. Suikimbayeva N.
2021E.A. Buketov Karaganda University Publish house

Eurasian Physical Technical Journal
2021#18Issue 393 - 100 pp.

This work dedicated to the investigation cosmological models based on tachyon field. It was showed that Einsteins 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 =2, and in particular, we investigate for =-1. The tachyonization of the cosmological model was made for the entire range of values of the barotropic index. 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.

Barotropic index , Deceleration parameter , Equation of state , Form-invariance transformations , State finder parameters , Tachyon field

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L.N. Gumilyov Eurasian National University, Nur-Sultan, Kazakhstan
M.Kh.DulatyTaraz Regional University, Taraz, Kazakhstan

L.N. Gumilyov Eurasian National University
M.Kh.DulatyTaraz Regional University

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