Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia1743210.22363/2312-9735-2017-25-4-380-389Research ArticleRotating Cosmological Bianchi Type VIII Modelswith Fluid SourcesYanishevskiyD M<p>Yanishevskiy D. M. - applicant of the Department of Higher Mathematics of Perm State University</p>ydm86@yandex.ruDepartment of Higher Mathematics Perm State University1512201725438038910122017Copyright © 2017, Yanishevskiy D.M.2017<p>Within the general theory of relativity the Bianchi type VIII cosmological models with rotationand expansion have been built. The ﬁrst case includes a ﬁeld of radiation, the second one -a perfect ﬂuid with dust-like equation of state. Perfect anisotropic ﬂuid imitates the rotatingdark energy. Static and dynamic cosmological modes have been observed, at the same timethe equations of state are partly postulated in the ﬁrst case for the anisotropic ﬂuid and inthe second case - for the perfect isotropic ﬂuid, that imitates baryon matter. The analysisof absence of closed time-like curves has been done, so the models have been proved to becasual when the metric parameters satisfy the found conditions. Also the conditions, when theanisotropic ﬂuids equation of state becomes vacuum-like, the energy of the ﬂuid dominatesand it becomes asymptotically isotropic, have been cleared out. Specialities of the oscillatingmode have been observed. The order of present angular velocity value, calculated within thecosmological models, has been found to be quite satisfactory when expanding from the Plank scale to the present size of observed part of the Universe. The found solutions may be used foreﬀects taking place nowadays and also during the inﬂationary stage.</p>cosmological expansiondust-like equation of stateanisotropyof the Universeaccelerated expansiontype VIII Bianchi metricкосмологическое расширениепылевидное уравнение состоя-нияанизотропия Вселеннойускоренное расширениеметрика VIII типа Бьянки[K. Land, J. Magueijo, Examination of Evidence for a Preferred Axis in the Cosmic Radiation Anisotropy, Physical Review Letters 95 (2005) 071301–071304.][A. Payez, J. R. Cudell, D. Hutsem´ekers, New Polarimetric Constraints on Axion-Like Particles, Journal of Cosmology and Astroparticle Physics 2012 (07) (2012) 041.][A. R. Liddle, M. Cortes, Cosmic Microwave Background Anomalies in an Open Universe, Physical Review Letters 111 (2013) 111302.][G. M. Bradley, E. Sviestins, Some Rotating, Time-Dependent Bianchi Type VIII Cosmologies with Heat Flow, GRG 16 (12) (1984) 1119–1133.][E. V. Kuvshinova, V. N. Pavelkin, V. F. Panov, Bianchi Type VIII Cosmological Models with Rotating Dark Energy, Gravitation and Cosmology 20 (1) (2014) 141–143.][E. I. Bobrovskikh, V. F. Panov, Unstationary Bianchi Type II Cosmological Models with Rotation, Russian Physics Journal 55 (4) (2012) 113–114.][V. F. Panov, O. V. Sandakova, Bianchi Type IX Cosmological Models, Russian Physics Journal 54 (3) (2011) 82–85.][S. C. Maitra, Stationary Dust-Filled Cosmological Solution with Λ = 0 and without Closed Timelike Lines, Journal of Mathematical Physics 7 (6) (1966) 1025–1030.][D. M. Yanishevskiy, Rotating Bianchi Type VIII Cosmological Models with Anisotropic Fluid, Scalar Field and Radiation, RUDN Journal of Mathematics, Information Science and Physics 25 (2) (2017) 192–198.][V. G. Krechet, Modern Cosmological Data and Rotation of the Universe, Russian Physics Journal 48 (3) (2005) 219–223.][E. Kuvshinova, V. F. Panov, O. V. Sandakova, Rotating Nonstationary Cosmological Models and Astrophysical Observations, Rotating Nonstationary Cosmological Models and Astrophysical observations 20 (2) (2014) 138–140.]