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)2022810.22363/2312-9735-2018-26-4-393-398Research ArticleBianchi Type VIII Cosmological Models Described with Caplygin Gas Equation of State Fluid SourcesYanishevskiyDaniil M<p>competitioner of Department of Higher Mathematics</p>ydm86@yandex.ruPerm State University1512201826439339821122018Copyright © 2018, Yanishevskiy D.M.2018<p>Within the general theory of relativity the Bianchi type VIII cosmological models with rotation and expansion have been built. Its known that dark energy can be simulated by different kinds of energy-stress tensor, therefore the sources of gravitation in present article are an anisotropic fluid, with a pressure component satisfying to Chaplygin gas equation of state and a perfect fluid in the first case and an anisotropic fluid, Chaplygin gas and cosmological constant in the second case. It has been proved that the model, when expanding from Plank scale to the modern size gives satisfactory value of the angular velocity value. The found solutions can be used for effects taking place nowadays and at the inflationary stage.</p>cosmological expansionChaplygin gasanisotropy of the Universeaccelerated expansiontype VIII Bianchi metricкосмологическое расширениегаз Чаплыгинаанизотропия Вселеннойускоренное расширениеметрика VIII типа Бьянки[K. Land, J. ao Magueijo, Examination of Evidence for a Preferred Axis in the Cosmic Radiation Anisotropy, Physical Review Letters 95 (2005) 071301–071304. doi:10.1103/PhysRevLett.95.071301.][A. Payez, J. R. Cudell, D. Hutsem´ekers, New Polarimetric Constraints on AxionLike Particles, Journal of Cosmology and Astroparticle Physics 2012 (07) (2012) 041. doi:10.1088/1475-7516/2012/07/041.][A. R. Liddle, M. Cortes, Cosmic Microwave Background Anomalies in an Open Universe, Physical Review Letters 111 (2013) 111302. doi:10.1103/PhysRevLett.111.111302.][G. M. Bradley, E. Sviestins, Some Rotating, Time-Dependent Bianchi Type VIII Cosmologies with Heat Flow, GRG 16 (1984) 1119–1133. doi:10.1007/BF00760236.][E. V. Kuvshinova, V. N. Pavelkin, V. F. Panov, O. V. Sandakova, Bianchi Type VIII Cosmological Models with Rotating Dark Energy, Gravitation and Cosmology 20 (2014) 141–143. doi:10.1134/S0202289314020078.]