Abstract
The existence of inflation, when a scale factor was varying with exponential or with power low, is important requirement in the theory of early Universe. Also it was established through the use of astronomical observations, that in the present stage the Universe is expanding with acceleration. One of the possible explanation for accelerating expansion of the Universe is the assumption about the existence of “dark” energy, the nature of that is not clear now. In this case “dark” energy is dominating in the Universe. Its density exceeds the energy of all “usual” cosmic forms of the matter taken together. In many works “dark” energy is simulated by ideal fluid with negative pressure. Also there is some scientific interest in considering the models in which the process of the expansion is followed by the isotropization of the Universe on a large scale. In this work we consider the model of the evolution of the Universe that is filled by the spinor matter. The potential of inflation of spinor field is established according to its correspondence with ideal fluid. The potential of isotropization of spinor field is also established.