Rotating Cosmological Bianchi Type VIII Modelswith Fluid Sources

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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 fluid’s 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.

D M Yanishevskiy

Principal contact for editorial correspondence.
Department of Higher Mathematics Perm State University 15, Bukireva St., Perm, 614990, Russian Federation

Yanishevskiy D. M. - applicant of the Department of Higher Mathematics of Perm State University

  • 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.


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