Analysis of cosmological tachyon and fermion model and observation data constraints

Abstract

In this work, we investigate a cosmological model with the tachyon and fermion fields with barotropic equation of state, where pressure [Formula: see text], energy density [Formula: see text] and barotropic index [Formula: see text] are related by the relation [Formula: see text]. We applied the tachyonization method which allows to consider cosmological model with the fermion and the tachyon fields, driven by special potential. In this paper, tachyonization model was defined from the stability analysis and exact solution standard of the tachyon field. Analysis of the solution via statefinder parameters illustrated that our model in fiducial points with deceleration parameter [Formula: see text] and statefinder [Formula: see text] corresponds to the matter-dominated universe (SCDM) but ends its evolution at a point in the future [Formula: see text] which corresponds to the de Sitter expansion. Comparison of the model parameters with the cosmological observation data demonstrates that our proposed cosmological model is stable at barotropic index [Formula: see text].