Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)8571Research ArticleThe Potential of Inflation and of Isotropization of Spinor FieldKovalchukovN ADepartment of Theoretical Physics and Mechanicsn.kovalchukov@rudn.ruShikinG NDepartment of Theoretical Physics and Mechanics-YuschenkoL PDepartment of Theoretical Physics and Mechanicsyuschenko_leonid@mail.ruPeoples’ Friendship University of Russia150120151839008092016Copyright © 2015,2015The 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.inflationisotropizationspinor fieldideal fluidинфляцияизотропизацияспинорное полеидеальная жидкость[Линде А.Д. Физика элементарных частиц и инфляционная космология. - М.: Наука, 1990.][Червон С.В. Нелинейные поля в теории гравитации и космологии. - Ульяновск: Изд-во Средневолжского научного центра, 1997.][Журавлёв В.М., Червон С.В., Щиголев В.К. Новые классы точных решений в инфляционной космологии // ЖЭТФ. - 1998. - Т. 114, № 2(8). - С. 406-417.][Hao J.-g., Li X.-z. Phantom with Born-Infeld-type Lagrangian // Phys. Rev. D. - 2003. - Vol. 68. - Pp. 04350-1-45501-5.][Чернин А.Д. Космический Вакуум // УФН. - 2001. - Т. 171, № 11. - С. 1153- 1176.][Saha B. Spinor Fields in Bianchy type-I Universe // Physics of Particles and Nuclei. - 2006. - Vol. 37, No 7. - Pp. S13-S44.][Krechet V.G., Fil’chenkov M. L., Shikin G. N. Equivalence between the Descriptions of Cosmological Models Using a Spinor Field and Perfect Fluid // Gravitation and Cosmology. - 2008. - Vol. 14, No 3. - Pp. 292-294.][Rybakov Y.P., Popov Y.A., Saha B. Scalar Field in Cosmology: Potential for Isotropization an Inflation // Int. J. Theor. Phys. - 2011. - Vol. 50. - Pp. 3421- 3431.]